The figure shows square U & square V inside square QRST. The area of square U is 49 cm²

The figure shows square U & square V inside square QRST. The area of square U is 49 cm². i f the area of square V is 169 cm². find perimeter of shaded part.

a)            40

b)            60

c)            53

d)            66

Sol:

Side length of square U = 7

Side length of square V = 13

Side length of QRST = 13 + 7 = 20

Perimeter of shaded part = 20 + 20 + (20 – 7) + (20 – 7)

= 66 cm