the length of a rectangle is three times its width. If the perimeter is 24 cm, what is the length
Answers
AnswEr:
The area of the rectangle = 27 Cm².
Given:
The length of a rectangle three times its width the perimeter of the rectangle is 24cm.
Need To Find:
Area of the rectangle = ?
ExPlanation:
Let, Breadth of the rectangle be x.
Formula used here:
Perimeter of rectangle = 2(L + B)
Putting the values according to the given formula:
➠ 24 = 2(3 + x)
➠ 12 = 14x
➠ x = 3 cm
ThereFore:
The length and breadth of the rectangle are 9 Cm and 3 Cm.
Again, Formula used here:
Area of rectangle = Length × Breadth
Putting the values according to the given formula:
➠ Area of rectangle = 9 × 3
➠ Area of rectangle = 27 Cm²
ThereFore:
The area of the rectangle is 27 Cm².
Additional Information:
What is Perimeter?
The length of the boundary of a closed figure is called the perimeter.
Perimeter of rectangle = 2 × (Length × Breadth)
Perimeter of a square = 4 × Side
What is Area?
The measure of the surface enclosed by a closed figure is called area.
Area of rectangle = Length × Breadth
Area of a square = Side × Side
Let width be x
Given :-
length = 3x
Perimeter = 24 cm
To Find :-
length
Step by step solution :-
2(l + w) = Perimeter
2(3x + x) = 24
2(4x) = 24
4x = 24/2
4x = 12
x = 12/4
x = 3
Length = 3x = 3(3) = 9
Verification :-
2(l + w) = Perimeter
2(9 + 3) = 24
2(12) = 24
24 = 24
Hence, Verified!✔