A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together
Solution:
Given, a school has a rectangular playground with length x and breadth y
Another square lawn with side x
We have to find the total perimeter of both of them combined together.
Considering rectangular playground,
Length = x
Breadth = y
Perimeter of rectangle = 2(length + breadth)
= 2(x + y)
= 2x + 2y units
Considering the square lawn,
Side = x
Perimeter of square = 4(side)
= 4(x)
= 4x units
Total perimeter of both of them combined together = perimeter of rectangle + perimeter of square - length of rectangle - one side of square
= 2x + 2y + 4x - x - x
= 2x + 2y + 4x - 2x
By combining like terms,
= 2x + 4x - 2x + 2y
= (2 + 4 - 2)x + 2y
= 4x + 2y units
Therefore, the total perimeter is 4x + 2y.
✦ Try This: A college has a rectangular playground with length 4x and breadth 3y and a square lawn with side 2x as shown in the figure given below. What is the total perimeter of both of them combined together
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 79
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together
Summary:
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure. The total perimeter of both of them combined together is 4x + 2y
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