Question

14. The side of a square and the breadth of a rectangle are equal. The length of the rectangle is 5 times its breadth. If the area of the square is 36 sq m, then find the area of the rectangle.​

Answer 1

Answer:

Correct option is A)

let the breadth of rectangle be x.

area of square = area of rectangle

18×18=x×36

x=9

perimeter=2(l+b)

=2(9+36)

=90 cm

Answer 2

Step-by-step explanation:

Solution :-

Let the breadth of a rectangle be X m

The length of the rectangle = 5×breadth

= 5×X = 5X m

We know that

Area of a rectangle = lb sq.units

Area of the given rectangle = 5X×X = 5X² m²

Let the side of a square be a m

Area of the square = a² sq.m

According to the given problem

Area of the square = 36 m²

=> a² = 36

=> a = 6 m

Side of the square = 6 m

Given that

Side of the square = breadth of the rectangle

Therefore, breadth of the rectangle (X) = 6 m

Length of the rectangle = 5X = 5(6) = 30 m

Area of the rectangle = 30×6 = 180 m²

Answer :-

Area of the given rectangle is 180 m²

Used Formulae:-

♦ Area of a rectangle = lb sq.units

• l = length
• b = breadth

♦ Area of the square = a² sq.units

• a = side of a square