Question

If the length of a rectangle is 7 cm and the diagonal of the rectangle is 25 cm, find the area of the rectangle.
1. 175 cm²​
2. 169 cm²​
3. 600 cm²​
4. 168 cm²

Answer 1

Correct Answer - Option 4 : 168 cm²

Given:

Length of rectangle = 7 cm

Diagonal of rectangle = 25 cm

Formula used:

Diagonal² = length² + breadth²

Area of recatngle = length × breadth

Calculation:

Diagonal2 = length2 + breadth²

⇒ 25² = 7² + breadth²

⇒ breadth = 24 cm

Area of rectangle 

⇒ 24 × 7

⇒ 168 cm²

∴ The area of the rectangle is 168 cm².