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Mugoya’s shamba is in the shape of figure PQRST shown below. What is the perimeter of Mugoya’s shamba in metres?

Class: KCPE

Subject: Mathematics

Topic: Length,perimeter and area

Lesson Summary

Mugoya’s shamba is in the shape of figure PQRST shown below. What is the perimeter of Mugoya’s shamba in metres?

q72032019537.png

A.600
B.480
C.700
D.660



Text Answer


To find the length of ST produce line PT to meet RS at U. Triangle STU is right angled at U.
Now side TU=180 – 60 = 120m

And side SU = 170 – 120= 50m

Apply Pythagoras relation to triangle STU

ST2= TU2 + SU2
= 1202 + 502 = 14 400 + 2 500 = 16 900
q72032019541.png

The correct answer is D (660m).

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