Question

The perimeter of the top of a rectangular table is 28 m, whereas its area is 48 m². What is the length of its diagonal?
1. 10 m
2. 12.5 m
3. 12 m
4. 5 m

Answer 1

Correct Answer - Option 1 : 10 m

Given:

The perimeter of the top of a rectangular table = 28 m

Area = 48 m2

Concept used:

The perimeter = 2 × (l + b)

Area = l × b

Diagonal of rectangle = √(l² + b²)

Calculation:

l × b = 48

2 × (l + b) = 28

l + b = 14      ----(1)

Squaring both sides of the equation,

(l + b)² = 14 × 14

l² + b² + 2 × l × b = 196

l2 + b2 = 196 - (2 × 48) = 100

Diagonal = √(l2 + b2) = √100 = 10 m