Question

the area of a square and a rectangle are equal equal if the side of the side of the square is 40 cm and breadth of rectangle is 25 cm find the length of the rectangle and length of the perimeter of rectangle​

Answer 1

area of square = 40× 40= 1600 cm sq..

area sq. = area of rect.

breadth= 25 cm

length= area/breadth

= 1600 / 25

= 64 cm

Answer 2

GIVEN:

Area of square and rectangle are equal,

Side of the Square = 40 cm

Breadth of the rectangle = 25 cm

ANSWER:

Length = 64 cm, Perimeter = 178 cm

SOLUTION:

Area of the square = Side × Side

= 40 × 40

= 1600

∴ Area of square is 1600 cm²

Taking length of the rectangle as "x"

Area of the rectangle = Length × Breadth

= 25x

∴ Area of rectangle = (25x) cm²

Given, area of rectangle and square are equal,

==> 25x = 1600

==> x = 1600/25

==> x = 64

∴ Length of the rectangle is 64 cm

Perimeter of the rectangle = 2(Length + Breadth)

= 2(64 + 25)

= 2 × 89

= 178

∴ Required perimeter is 178 cm