Question

the length of the rectangle is three by fourth of the breadth if its perimeter is 126 then its area will be please answer friends please tomorrow is my IMO Olympiad

Answer 1

Solutions :-

Let the breadth of the rectangle be x
Length ¾ of x

Given : perimeter = 126 cm

We know that,

Perimeter of rectangle = 2 (Length + Breadth)

A/q

=> 126 = 2(¾ of x + x)
=> 126 = 2(0.75x + x)
=> 126/2 = 1.75x
=> 63 = 1.75x
=> x = 63/1.75 = 36

Therefore,
Length = ¾ of x = ¾ × 36 = 27 cm
Breadth = x = 36 cm

Find the area of rectangle :-

Area of rectangle = Length × Breadth square unit
= (27 × 36) cm²
= 972 cm²

Hence,
Area of rectangle = 972 cm²

Answer 2

Heya!! here is your answer...

Let the breadth of rectangle be y
Then,
length of rectangle = 3/4 of breadth = 3/4 × y = 3/4y

Perimeter of the rectangle = 126 cm
Perimeter of the rectangle = 2 ( l +b )
= 2 ( 3/4 y + y ) = 2 ( 7 / 4 y ) = 7 /2 y

7 /2 y = 126
y = 126 × 2 / 7
y = 36

Therefore, Breadth = 36 cm
Length = 3/4 y = 3/4 × 36 = 27 cm

Area of rectangle = Length × Breadth
= 27 × 36 = 972 cm^2