Question

The length of my school garden is 5m more than its width if its perimeter is 90m find its length

Answer 1

hi there!!

Step-by-step explanation:

Let the breadth (b) be x m.

hence,

the length (l) would be x+5 m.

now,

according to the formula,

Perimeter of a rectangular garden=

2( l+b) m

substituting the values in the formula,

90= 2( x+5+x)

90= 2( 2x+5)

90= 4x+10

90-10= 4x

80= 4x

80/4= x

20= x

hence

the breadth= 20 m

therefore,

the length= x+5= 20+5= 25m

hope this helps!! ♥♥♥

Answer 2

Answer :-

$\bf\huge\boxed{Length- 25 m}$

Explanation :-

Given :

• Length of the garden = 5 m more than width
• Perimeter of the garden = 90 m

To find :

The length of the school garden

Solution :

Let the width be 'x' m

and the length be '(x + 5)' m

We know that,

Perimeter = 2(length + breadth)

=> Perimeter = 90 m

=> 2 {x + (x + 5)} = 90

=> 2 {x + x + 5} = 90

=> 2 {2x + 5} = 90

=> 4x + 10 = 90

=> 4x = 90 - 10

=> 4x = 80

=> x = 80/4

=> x = 20

Hence, the value of x is 20

Therefore,

The width => x = 20m

The length => (x + 5) = 20 + 5 = 25m