Question

Figure PQRS represents a rectangular window.
The area of the window is sq. in

• A. 1140
• B. 2000
• C. 1500
• D. 1200

Answer 1

Answer: (B), (D)

1200

We know,
Area of a rectangular window = Length x Breadth
Given: Breadth = 30 in

Let's find the length of the triangle using pythagoras theorem,

$\text{In}\Delta \text{PSR}$,

$P{S}^2+S{R}^2=P{R}^2$ (By pythagoras theorem)
PS = 30 in
PR = 50 in

$\left({30}^2\right)+\left(S{R}^2\right)=\left({50}^2\right)$

$\left(S{R}^2\right)=\left({50}^2\right)-\left({30}^2\right)$

$\left(S{R}^2\right)=\left(2500\right)-\left(900\right)$

$\left(S{R}^2\right)=1600$

⇒ Length(SR) = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 40 in

$\text{Area of PQRS =}40\times 30$
$=1200\text{sq. in}$