Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased,...

If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased, and what ratio.

Answers

sharon kalunda answered the question on August 28, 2019 at 12:49

Answer Attachments

Next: Expand ( 1 + 3x)⁷ up to x³, hence use the expansion to estimate the value of (1.3)⁷ correct to three decimal places.

Previous: The points A and B are ( 2,10) and (-4,8) respectively. If AB is a diameter of the circle, find the equation of this circle.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Expand ( 1 + 3x)⁷ up to x³, hence use the expansion to estimate the value of (1.3)⁷ correct to three decimal places. (Solved)

Expand ( 1 + 3x)⁷ up to x³, hence use the expansion to estimate the value of (1.3)⁷ correct to three decimal places.

Date posted: August 28, 2019 . Answers (1)
Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens... (Solved)

Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens and 8 black pens. A bag is chosen at random and two pens drawn from it, one at a time without replacement. Find the probability of picking two pens of the same colour.

Date posted: August 28, 2019 . Answers (1)
Make ?? the subject of the formula (Solved)

Make 𝐻 the subject of the formula

Date posted: August 28, 2019 . Answers (1)
By rationalizing the denominator, evaluate the following surds (Solved)

By rationalizing the denominator, evaluate the following surds

Date posted: August 28, 2019 . Answers (1)
Use logarithms table to evaluate. (Solved)

Use logarithms table to evaluate.

Date posted: August 28, 2019 . Answers (1)
A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s (Solved)

A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s. The acceleration 9m/s² of a particle t seconds after passing O is given by the equation a = 4 – 6t. Calculate:
(a) The velocity of particle 2 seconds after passing O.
(b) The time taken to reach the maximum distance from O in the direction of the initial motion.
(c) The value of the maximum distance.

Date posted: August 28, 2019 . Answers (1)
Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 030⁰ FROM SHIP x.... (Solved)

Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 030⁰ FROM SHIP x. Ship Z is 750km from ship Y and on a bearing of 140⁰ from X. An enemy ship S is sighted 900km due East of ship Y. Calculate:
(a) The bearing of Z from Y.
(b) The distance of X from Z.
(c) The distance S from Z.
(d) The shortest distance from X to the direct route between Y and Z.

Date posted: August 28, 2019 . Answers (1)
The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form... (Solved)

The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form a quadratic equation that can be used to solve for x in the triangle.

Date posted: August 28, 2019 . Answers (1)
The table below shows the analysis of examination marks scored by 160 candidates. (a) Draw a cumulative frequency curve for the data. (b) State the modal... (Solved)

The table below shows the analysis of examination marks scored by 160 candidates.

(a) Draw a cumulative frequency curve for the data.
(b) State the modal class.
(c) Use the graph to estimate:
(i) The quartile deviation.
(ii) How many candidates passed if a mark of 35% and above was a pass?

Date posted: August 28, 2019 . Answers (1)
Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA... (Solved)

Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA < 5cm, IA > IC and the area of triangle DCI > 10cm². Locate by construction the region I.

Date posted: August 28, 2019 . Answers (1)
How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol? (Solved)

How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol?

Date posted: August 28, 2019 . Answers (1)
A poultry farmer in Lelmokwo vaccinated 540 of his 720 chicken against a disease. Two months later 5% of the vaccinated and 80% of the... (Solved)

A poultry farmer in Lelmokwo vaccinated 540 of his 720 chicken against a disease. Two months later 5% of the vaccinated and 80% of the unvaccinated chicken contracted the disease. Calculate the probability that the chicken chosen at random contracted the disease.

Date posted: August 28, 2019 . Answers (1)
A solid has a base in the shape of a rhombus whose diagonals AC and BD are 32cm and 24cm respectively. The height CE which... (Solved)

A solid has a base in the shape of a rhombus whose diagonals AC and BD are 32cm and 24cm respectively. The height CE which is perpendicular to AC, BC and DC is 24cm.

Calculate: the angles between the planes EBD and ABCD.

Date posted: August 28, 2019 . Answers (1)
Find the co-ordinates of a point at which the gradient of the curve y = x² – 3x + 3 is seven. (Solved)

Find the co-ordinates of a point at which the gradient of the curve y = x² – 3x + 3 is seven.

Date posted: August 28, 2019 . Answers (1)
If a = -i + 3j, b = i + 6j and c = 5i + 12j. Show that the points are collinear. (Solved)

If a = -i + 3j, b = i + 6j and c = 5i + 12j. Show that the points are collinear.

Date posted: August 28, 2019 . Answers (1)
Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price... (Solved)

Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price or make a down payment of sh. 8,000 and 15 monthly installments of sh. 2000 each. Calculate the rate of interest charged per month.

Date posted: August 28, 2019 . Answers (1)
Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8 (Solved)

Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8

Date posted: August 28, 2019 . Answers (1)
Work out the following: (Solved)

Work out the following:

Date posted: August 28, 2019 . Answers (1)
The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by V = 3t² - 3t – 6 Find:- (i) The acceleration... (Solved)

The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by
V = 3t² - 3t – 6

Find:-
(i) The acceleration of the particle after 2 seconds.
(ii) The distance covered by the particle between t = 1 and t = 4 seconds.
(iii) The time when the particle is momentarily at rest.
(iv) The minimum velocity attained by the particle.

Date posted: August 28, 2019 . Answers (1)
In the figure below, C is a point on AB such that BA = 4BC and D is the mid point of OA OC and... (Solved)

In the figure below, C is a point on AB such that BA = 4BC and D is the mid point of OA OC and BD intersect at x

a) Write the vectors below in terms of a and b
i) AB
ii) OC
iii) BD

b) If BX = hBD express ox in terms of a, b and h

c) If OX = kOC, find h and k

d) Hence express OX in terms of a and b only

Date posted: August 28, 2019 . Answers (1)