Question

The length of the rectangle is 5 more than twice its breadth. The

perimeter of a rectangle is 52 cm then find the length of the rectangle.​

Answer 1

let, the length of rectangle be x cm.

the breath of rectangle be y cm.

a/c to condition 1

x=2y+5

x-2y=5 _________1

a/c to condition 2

2(l+b)=52

2(x+y)=52

2x+2y=52__________2

by solving we get,

x=19 y=7

therefore,

the length of rectangle is 19 cm.

the breath of rectangle is 7 cm.

Answer 2

Answer:

Given :-

• The length of the rectangle is 5 more than twice its breadth.
• The perimeter of a rectangle is 52 cm.

To Find :-

• What is the length of the rectangle.

Formula Used :-

★ Perimeter of a Rectangle = 2(Length + Breadth)

Solution :-

Let, the breadth be x cm

And, length will be 2x + 5 cm

According to the question by using the formula we get,

↦ 2(2x + 5 + x) = 52

↦ 4x + 10 + 2x = 52

↦ 4x + 2x + 10 = 52

↦ 6x + 10 = 52

↦ 6x = 52 - 10

↦ 6x = 42

↦ x = 42/6

➠ x = 7 cm

Hence, the required length and breadth are :

➲ Length of a rectangle :

↦ 2x + 5 cm

↦ 2(7) + 5 cm

↦ 14 + 5 cm

➦ 19 cm

And,

➲ Breadth of a rectangle :

↦ x cm

➦ 7 cm

∴ The length of the rectangle is 19 cm .