Answer:
lenth = x= 12cm
Breadth = y = 8cm
Step-by-step explanation:
Given :
The length of a rectangle is 4 cm more than its width
The area of the rectangle is 96 cm²
To Find :
Width of the rectangle.
Solution :
Let the length of the rectangle be x cm.
Let the breadth of the rectangle be y cm.
Case 1:
➣
➣ _____(1)
Case 2 :
We have the formula for area of the rectangle as follows :
Where,
l = length → x cm
b = breadth → y cm.
➣
➣
Substitute, x = 96/y in equation 1,
➣
➣
➣
➣
➣
Divide by minus sign,
➣
➣
➣
➣
➣
➣
➣
As per assumption, y = breadth of the rectangle.
•°• y = -12 is not acceptable.
Substitute, y = 8 in equation 1,
➣
➣
➣
➣
