The question is incomplete. Here is the complete question.
A family needs to build a fence around their rectangular home and square pool, depicted below. A rectangle labeled home has its right side (2 + 5x) yards and its bottom side labeled (3 + 10x)yards. The square, labeled pool, is smaller than the rectangle. One of its side is labeled (2x)yards. The total amount of fencing they need can be written as x + 10. If x = 5:
The family needs _____ yards of fencing for their home.
The family needs _____ yards of fencing for their pool.
Answer: 160 yards
40 yards
Step-by-step explanation: Perimeter is the sum of every side of a polygon.
Rectangle and Square are quadrilateral, i.e., have 4 sides each, but in a rectangle, the 2 parallel sides are equal, while in a square, 4 sides are equal.
To determine the amount of yards to fence a rectangle home:
P = 2l + 2w
where
l is length (in this case, bottom side)
w is width (right side)
P is perimeter
P = 2(2 + 5x) + 2(3 + 10x)
P = 4 + 10x + 6 + 20x
P = 10 + 30x
As x = 5:
P = 10 + 30(5)
P = 160
The family will need 160 yards of fencing for their home.
For the square pool:
P = 4s
with s representing a side of the square
P = 4(2x)
P = 8x
As x = 5:
P = 8(5)
P = 40
The family needs 40 yards of fencing for their pool.
