Question

An office consists of rhombus shaped window of area 500 sq.cm,which has been decorated with rhombus shaped glass pieces and each of its lenght of the diagonals are 10 cm and 5 cm.Then,the number of glass pieces required to cover the window is

Answer 1

Given:

An office consists of a rhombus-shaped window of area 500 sq. cm, which has been decorated with rhombus-shaped glass pieces and each of its length of the diagonals is 10 cm and 5 cm.

To find:

The number of glass pieces required to cover the window

Solution:

The area of the rhombus-shaped window = 500 cm²

The dimensions of each rhombus-shaped glass pieces:

diagonal one, d₁ = 10 cm

diagonal two, d₂ = 5 cm

∴ The area of each rhombus-shaped glass pieces is,

= $\frac{1}{2} \times d_1 \times d_2$

= $\frac{1}{2} \times 10 \times 5$

= $5 \times 5$

= $25 \:cm^2$

Let "n" represents the no. of glass pieces required to cover the window.

Now,

Area of rhombus-shaped window = n × Area of each glass piece

∴ $500 = n \times 25$

$\implies n = \frac{500}{25}$

$\implies \bold{n = 20}$

Thus, the number of glass pieces required to cover the rhombus-shaped window is → 20.

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Answer 2

Answer:

an office consists of rhombus shaped windows o