Question

Find the cost of planting grass in the rhombus shaped park with perimeter 40cm and one diagonal 12cm, at the rate of `5/cm2​

Answer 1

Step-by-step explanation:

Find the cost of planting grass in the rhombus shaped park with perimeter 40cm and one diagonal 12cm, at the rate of `5/cm2

Answer 2

Answer:

Given, Perimeter of rhombus= 40 cm

All sides of rhombus are equal, hence, side,

$a = \frac{40}{4 } = 10$

Diagonal of rhombus,

$p = 12 cm$

Area of rhombus

$= \frac{1}{2} p \sqrt{4 {a }^{2 } - {p}^{2} }$

Area of rhombus

$= \frac{1}{2} (12) \sqrt{4(10 {)}^{2} - {12}^{2} }$

Area of rhombus

${ = 96cm}^{2}$

Total area of both the sides

$= 2 \times 96 = {192cm}^{2}$

Cost of painting

${1cm}^{2} = rupees \:. 5$

Cost of painting

${192cm}^{2} = 192 \times 5 = rupees.960 \:$