Question

2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it

by extending cach side 7 feet.

a. Represent the length and width of the original garden using an appropriate variable.

Width:

W.4

w

Length:

b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is

enlarged

Perimeter:

Answer 1

P = 10W + 28

Explanation:

Let L be the original length of the garden

W be the original width of the garden

If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W

If he is going to enlarge it by extending each side 7 feet, then;

The new length l = (4W + 7) feet

The new width will be w =(W+7) feet

Perimeter of the rectangular gerden P = 2(l+w)

l and w are the new length and width

Substituting l = 4W+7 and w = W+7 into the formula;

P = 2(4W+7+W+7)

P = 2(5W+14)

open the parenthesis

P = 10W + 28

Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28