A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs. 5 per m². Find the cost of painting.

Question

A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs. 5 per m 2 . Find the cost of painting.

Philoid · Accepted Answer

Since the sides of a rhombus are equal there fore each side = = = 8 m

Let a, b and c are the sides of triangle and s is

the semi-perimeter, then its area is given by:

A = where [Heron’s Formula]

= = 13

A=

A = = cm²

Hence, area of rhombus ABCD = 2 ×31.22 m²

= 62.44 m²

Total painting area of rhombus = 62.44 × 2 = 124.88 m²

Cost of painting of rhombus on both sides = 124.88 × 5 = Rs 624.50

A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs. 5 per m2. Find the cost of painting.

A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs. 5 per m². Find the cost of painting.