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

The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m².

The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m².
(i) Calculate the perimeter of the floor
(ii) A rectangular carpet is placed on the hall leaving an area of 64cm². If the length of the carpet is twice its width,determine the width of the carpet

Answers

sharon kalunda answered the question on April 29, 2019 at 14:15

Answer Attachments

Next: Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.

Previous: The product of the first three terms of a geometric progression is 64. If the first term is a and the common ratio is r,

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Three quantities R, S, T are such that R varies directly as S and inversely as the square of T. (Solved)

Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(a) Given that R = 480 when S = 150 and T = 5, write an equation connecting R, S and T
(b) (i) Find the value of R when S = 360 and T = 1.5
(ii) Find the percentage change in R if S increases by 5% and T decreases by 20%

Date posted: April 29, 2019 . Answers (1)
The table below shows income tax rates for a certain year. (Solved)

The table below shows income tax rates for a certain year.

A tax relief of Kshs. 1162 per month was allowed. In a certain month of the year, an employee’s taxable income in the
fifth band was Kshs. 2108.
a) Calculate:
i) Employees total taxable income in that month
ii) The tax payable by the employee in that month
b) The employees income includes a house allowance of Kshs. 15,000 per month. The employees contributed 5% basic
salary to a cooperative society. Calculate the employees net pay for that month.

Date posted: April 29, 2019 . Answers (1)
Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the circle. (Solved)

Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the
circle.

Date posted: April 29, 2019 . Answers (1)
If the local time of town A (52⁰N, 0⁰) is 12.00noon. Find the local time of town B(1⁰S,37⁰E) (Solved)

If the local time of town A (52⁰N, 0⁰) is 12.00noon. Find the local time of town B(1⁰S,37⁰E)

Date posted: April 29, 2019 . Answers (1)
Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½... (Solved)

Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½ k
respectively, find the position vector of B in terms of i , j and k.

Date posted: April 29, 2019 . Answers (1)
(a) Draw a regular pentagon of side 4cm (b) On the diagram drawn, construct a circle which touches all the sides of the pentagon (Solved)

(a) Draw a regular pentagon of side 4cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon

Date posted: April 29, 2019 . Answers (1)
a)Expand (1-x)⁵ up to the term in x³. (Solved)

a)Expand (1-x)⁵ up to the term in x³.
(b) Use the expansion in (a) to approximate the value of (0.98)⁵ correct to 3 decimal places

Date posted: April 29, 2019 . Answers (1)
In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate... (Solved)

In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate the length
AT.

Date posted: April 29, 2019 . Answers (1)
Find the relative error in the difference between 26.0cm and 14.2cm (Solved)

Find the relative error in the difference between 26.0cm and 14.2cm

Date posted: April 29, 2019 . Answers (1)
Simplify the expression below (Solved)

Simplify the expression given below

Date posted: April 29, 2019 . Answers (1)
The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement. (Solved)

The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.

Date posted: April 29, 2019 . Answers (1)
Two dice are tossed together. (Solved)

Two dice are tossed together.
a) Draw a probability space to show all the possible outcomes
b) Find the probability that the sum of the two upper faces will be 9

Date posted: April 29, 2019 . Answers (1)
In the figure below, 0 is the centre of the circle. Find (Solved)

In the figure below, 0 is the centre of the circle. Find

Date posted: April 29, 2019 . Answers (1)

Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line (Solved)

Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line

Date posted: April 29, 2019 . Answers (1)
Make P the subject of the formula (Solved)

Make P the subject of the formula

Date posted: April 29, 2019 . Answers (1)
Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the... (Solved)

Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the tank is 3 hours.
a) If tap R is closed, how long would it take taps P and Q to fill the tank?
b) Calculate how long it would take to fill the tank when the three taps P, Q and R are left running.

Date posted: April 29, 2019 . Answers (1)
Use logarithms to evaluate, correct to 4 decimal places. (Solved)

Use logarithms to evaluate, correct to 4 decimal places.

Date posted: April 29, 2019 . Answers (1)
The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day. (Solved)

The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day.

(a) Draw a histogram to represent the above information
(b)(i) State the class in which the median mass lies
(ii) Draw a vertical line in the histogram, showing where the median mass lies
(iii) Calculate the median mass in kilogrammes of the fish caught

Date posted: April 29, 2019 . Answers (1)
In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b (Solved)

In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b

a) Express the following in terms of a and b
(i) AB
(ii) XY
(b) Given that AC = 6AB, express OC & XC interms of a and b
(c) Show the points X, Y and C are collinear
(d) State the ratio in which C divides XY

Date posted: April 29, 2019 . Answers (1)
The displacement, S metres, of a moving particle after t seconds is given by S = 40t³ – t² + 3t + 3. Determine: (Solved)

The displacement, S metres, of a moving particle after t seconds is given by
S = 40t³ – t² + 3t + 3. Determine:
(a) The velocity of the particle when t= 3 seconds
(b) The value of t when the velocity of the particle is 4M/S
(c) The displacement when the particle velocity is 4M/S
(d) The acceleration of the particle when t = 3 seconds

Date posted: April 29, 2019 . Answers (1)