Question

If the diagonal of a square is equal to the breadth of a rectangle which is 80cm, and the perimeter of the rectangle is 324cm. What is the length of the rectangle?
1. 41 cm
2. 80cm
3. 82 cm
4. 64 cm

Answer 1

Correct Answer - Option 3 : 82 cm

Given:

Diagonal of a square =  breadth of a rectangle = 80 cm

Perimeter of the rectangle = 324 cm

Concept:

Perimeter of rectangle = 2 × (l + b)

Calculation:

Diagonal of the square(d) = breadth of rectangle(b) = 80 cm

According to the question,

⇒ 2 × (l + b) = 324

⇒ 2 × (l + 80) = 324

⇒ (l + 80) = 162

⇒ l = 82

∴ value of length(l) is 82 cm