Question

In the diagram ABCD is a square of side length 12 and APQR is a rectangle such that AP = 18 then find the perimeter of rectangle APQR.

Answer 1

Step-by-step explanation:

Hey mate!!

Lets do it step by step :-

Step 1:

Length of the rectangle, CD = 18 cm

Breadth of the rectangle, BC = 12 cm

∴ Area of the rectangle ABCD = length * breadth = 18 * 12 = 216 cm²

Step 2:

Base of the ΔEDC, CD = 18 cm

Height of the ΔEDC = BC = 12 cm

∴  Area of the Δ EDC =  * base * height =  * 18 * 12 = 108 cm²

Step 3:

Thus,

The area of the shaded portion is given by,

= [Area of the rectangle ABCD] - [Area of the Δ EDC]

= 216 cm² - 108 cm²

= 108 cm²

Hence, 108 cm² is the ultimate answer.

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