Question

15. In the given figure, ABCD is a square of side 4 cm. E and Fare mid-points of AB and AD
respectively. Find the area of the shaded region.
F​

Answer 1

Step-by-step explanation:

i hope this is the answer

Answer 2

*Question:—

In the given figure, ABCD is a square of side 4 cm. E and Fare mid-points of AB and AD respectively. Find the area of the shaded region F.

*Answer:—

• The area of the Shaded region is 12cm².

Step by Step Explanation:—

Consider the square ABCD =>

→ Side= 4cm

→ area of square = a²

→ area of square = 4²

→ area of square = 16cm²

Given that:—

F and E are the midpoints of AB and AD

AB = AD (sides of a square)

Therefore,

→ 1/2 of AB = 1/2 of AD

→ AF = AE=2cm ______(sides AB = AD = 4cm)

Consider the triangle AFE =>

→ FE² = AF² + AE² (pythagoras theorem)

→ FE² = 2² + 2²

→ FE² = 4 + 4

→ FE² = 16

→ FE = √16

→ FE = √4 × 4

→ FE = 4 cm²

Therefore,

→ FE = √16 = 4cm²

Area of shaded portion = Area of square - Area of triangle:—

• = 16cm² - 4cm²
• =12cm²

Hence,

The area of the Shaded region is 12cm².

$@vikramjeeth$