He total amount of fencing they need can be written as 5 x + 10. If x = 5; The family needs 160 yards of fencing for their home. The family needs 40 yards of fencing for their pool.

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.

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.

a c

step-by-step explanation:

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