Aplayground is 50-feet long by 30-feet wide. the length and width of the playground will each be increased by the same number of feet. the following expression represents the perimeter of the larger playground:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

which expression is equivalent to the expression for the perimeter of the larger playground?
a) (x + 50) + (x + 30)
b) 4x + 40
c) 4(x + 40)
d) 4(x + 160)

Option C is correct

4(x+40)

Step-by-step explanation:

Perimeter(P) of rectangle is given by:

where, l is the length and w is the width of the rectangle.

As per the statement:

A playground is 50-feet long by 30-feet wide.

The length and width of the playground will each be increased by the same number of feet.

The following expression represents the perimeter of the larger playground is:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

first Remove parenthesis:

x + 50+ x + 30 + x + 50+ x + 30

Combine like terms;

4x+160

using distributive property   we have

⇒4(x+40)

Therefore, the expression is equivalent to the expression for the perimeter of the larger playground is, 4(x+40)

homozygous. one is homozygous, while two is heterozygous.