Question

Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold in bundles of 40 ft. How much border will be leftover once Isabelle lines her garden?

a. What is the perimeter of Isabelle's garden?
b. How much border will be leftover once Isabelle lines her garden?​

Answer 1

Isabelle's flower garden has a perimeter of 276 inches. With borders sold in 40-foot (480 inches) bundles, she will have 204 inches of the border leftover after lining her garden.

Step-by-step explanation:

Isabelle's flower garden has dimensions of 60 inches by 78 inches. To determine the amount of decorative border required to line the garden, we must first calculate the perimeter of the garden.

Calculating the Perimeter

The perimeter (P) of a rectangle is given by the formula P = 2(length + width). In Isabelle's case, the length (L) is 78 inches and the width (W) is 60 inches.

Step 1: Calculate the perimeter:

P = 2(L + W)

P = 2(78 inches + 60 inches)

P = 2(138 inches)

P = 276 inches

Converting the Border Length

The border is sold in bundles of 40 feet. Since there are 12 inches in a foot, we need to convert 40 feet to inches for a fair comparison.

Step 2: Convert feet to inches:

1 foot = 12 inches

40 feet = 40 * 12 inches

40 feet = 480 inches

Calculating Leftover Border

Now, we subtract the perimeter of the garden from the total length of the border bundle to find the amount of leftover border.

Step 3: Calculate leftover border:

Leftover border = Total border length - Perimeter of the garden

Leftover border = 480 inches - 276 inches

Leftover border = 204 inches

There will be 204 inches of border leftover after Isabelle lines her garden.