Question

The length of a rectangle is 10 m more than its breadth if the perimeter of rectangle is 80m find the dimensions of the rectangle

Answer 1

ATQ, the Length of the rectangle is 10m more than it's breadth.

let the breadth of the rectangle be x

therefore it's length = x + 10

given perimeter of the rectangle = 80m

formula to find the perimeter of a rectangle = 2 ( l + b )

➡ 2 ( l + b ) = 80m

➡ 2 ( x + 10 + x ) = 80m

➡ 2x + 10 = 80/2

➡ 2x = 40 - 10

➡ 2x = 30

➡ x = 30/2

➡ x = 15m

hence,

• breadth of the rectangle = x = 15m

• length of the rectangle = x + 10 = 25m

verification :-

= 2 ( l + b )

= 2(25 + 15)

= 2 × 40

= 80m

Answer 2

Answer:

Step-by-step explanation:

Given :-

Length of a rectangle is 10 m more than its breadth if the perimeter of rectangle is 80 m.

To Find :-

Dimensions of the rectangle.

Formula to be used :-

Perimeter of Rectangle = 2(length + breadth)

Solution :-

Let the breadth be = x

Then the length = x + 10

Putting all the values, we get

⇒ 2(length + breadth) = Perimeter of Rectangle

⇒ 2(x + 10 + x ) = 80

⇒ 2( 2x + 10) = 80

⇒ 4x +20 = 80

⇒ 4x = 80 - 20

⇒ 4x = 60

⇒ x = 60/4

⇒ x = 15

Breadth = 15 m

Length = 15 + 10 = 25 m

Hence, the dimensions of the rectangle are 15 m and 25 m.