Question

Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2

Answer 1

√10 + 2√2 + 3√5 + 6

2√2 + 2√5 + 10

Explanation:

Given parameters:

Dimensions of the rectangle:

√2 + 3 and √5 + 2

Unknown:

Area and Perimeter of the rectangle = ?

Solution:

Area of a rectangle = L x W

Perimeter of a rectangle = 2 (L + W)

Input the parameters and solve;

Area = (√2 + 3)(√5 + 2)

= √10 + 2√2 + 3√5 + 6

Perimeter of a rectangle = 2(√2 + 3 + √5 + 2)

= 2√2 + 6 + 2√5 + 4

= 2√2 + 2√5 + 10