the breadth of a rectangle is 3 cm less than its length. If the area of the rectangle is 88 cm^2. Find its perimeter.
Answers
GIVEN:-
TO FIND:-
- The Perimeter of Rectangle
FORMULAE USED:-
Where,
L = Length
B= Breadth.
Where,
L = Length
B= Breadth.
Hence, The length can' be negative so x=11.
Now,
Now,
Hence, The perimeter of the Rectangle is 38cm.
Given :–
- The breadth of a rectangle is 3 cm less than its length .
- Area of the rectangle is 88 cm² .
To Find : –
- Perimeter of the rectangle .
Solution : –
Let, the length of the rectangle be x .
then the breadth of the rectangle will be ( x - 3 ) .
We have : –
- Length = x
- Breadth = ( x - 3 )
- Area = 88 cm²
We know that –
Area of rectangle = length × breadth
→ 88 = (x) × (x - 3)
→ 88 = x² - 3x
→ x² - 3x - 88 = 0
→ x² - (11 - 8)x - 88 = 0
→ x² - 11x + 8x - 88 = 0
→ x(x - 11) + 8(x - 11) = 0
→ (x - 11) (x + 8) = 0
x - 11 = 0
→ x = 11
x + 8 = 0
→ x = - 8
As we know the length of a rectangle can't be negative so , the length is 11 cm .
Breadth of the rectangle : –
x - 3
→ 11 - 3
→ 8 cm .
Perimeter of the rectangle : –
P = 2( l + b )
→ P = 2( 11 + 8 )
→ P = 2 × 19
→ P = 38 cm .
Hence, the perimeter of the rectangle is 38 cm .