Question

A rhombus shaped sheet with perimeter 32cm and one of the diagonal 10cm is painted on both the sides at the rate of $5 percm². Find the cost of painting.

Answer 1

Answer:

$624.50

Step-by-step explanation:

Perimeter of rhombus = 32 cm

Side of rhombus = 32 / 4 = 8 cm

Half of diagonal = 10 / 2 = 5 cm

Half of other diagonal,

$\sqrt{(8^{2}-5^{2})}=\sqrt{39}$

Area of rhombus,

$\frac{(10*2\sqrt{39})}{2}=10\sqrt{39}$

Area of both sides of the sheet,

$2*10\sqrt{39}=20\sqrt{39}$

@ $5 per $cm^{2}$, cost of painting,

$100\sqrt{39}$