Question

15. ABCD is a rectangle with sides 18 cm and 12 cm as shown in the figure. EDC is a triangle inside rectangle. Calculate the area of the shaded portion​

Answer 1

Correct answer:-

The area of the shaded portion, if the rectangle measures 18 cm x 12 cm and a triangle EDC is present inside the rectangle, is 108 cm².

Step-by-step explanation:

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 = \frac{1}{2}

* base * height = \frac{1}{2}

* 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 [Ans].

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Answer 2

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