The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle
Solution:
Let the breadth of the rectangle be x m.
Then the length of the rectangle be (5x - 4) m.
Hence the perimeter of the rectangle is 2 [x + (5x - 4)] m.
A/Q
2 [x + (5x - 4)] = 40
6x - 4 = 40/2
6x = 20 + 4
x = 24/6
x = 4
Hence, (5x - 4) = 16
Thus, the length of the rectangle is 16 m.
✦ Try This: The perimeter of a rectangle is 52 m. The length of the rectangle is 5 m less than twice its breadth. Find the length of the rectangle.
Let the breadth of the rectangle be x m.
Then the length of the rectangle be (2x - 5) m.
Hence the perimeter of the rectangle be 2 [x + (2x - 5)] m.
A/Q
2 [x + (2x - 5)] = 52
6x - 10 = 52/2
6x = 26 + 10
x = 36/6
x = 6
Hence, (2x - 5) = 7
Thus, the length of the rectangle is 7 m.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 4
NCERT Exemplar Class 7 Maths Chapter 4 Problem 87
The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle
Summary:
If the perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth, then the length of the rectangle is 16 m
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