PSLE The perimeter of figure MNPQR is (4
m + 21) cm. The perimeter of square MNPQ is 12 cm.
- Find the perimeter of triangle MQR in terms of m.
- The perimeter of figure MNPQR is 49 cm. What is the value of m? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of MN, NP and PQ
= 3 x 3
= 9 cm
Perimeter of triangle MQR
= 4
m + 21 - 3 - 3
= (4
m + 15) cm
(b)
4
m + 21 = 49
4
m = 49 - 21
4
m = 28
m = 28 ÷ 4 = 7
Value of
m = 7 cm
Answer(s): (a) (4
m + 15) cm; (b) 7 cm