IXL | Area and perimeter: multi-step word problems with unit conversions

Sadie is planning to adopt a dog, but first she wants to build a fence around her vegetable garden so that the dog can't get in and dig up her plants. The area she wants to fence in is shaped like a rectangle. It is 24 feet long and 18 feet wide. Sadie plans to hire a fencing company that prices fencing by the yard. How many yards of fencing does Sadie need in order to fence in the vegetable garden?

yards

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Learn with an example

question

One corner of Brooklawn Park is fenced off as a dog play area. The dog play area is rectangular. It is 78 feet long and 36 feet wide. How many yards of fencing surround the dog play area?

yards

key idea

solution

You were asked to find how many yards of fencing surround the dog play area. In other words, find the area's perimeter in yards. You can follow these steps.

Step 1: Find the length and width of the dog play area in

yards.

You know the dog play area is 78 feet long and 36 feet wide. There are 3 feet in a yard. So, divide by 3 to find the length and width in yards.

Length:

Width:

The dog play area is 26 yards long and 12 yards wide.

Step 2: Find the perimeter of the dog play area.

To find the perimeter, add up all the side lengths.

The perimeter of the dog play area is 76 yards. So, 76 yards of fencing surround the dog play area.

Looking for more? Try these:

Lesson: Area of rectangles

Lesson: Perimeter

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Teacher tools

Work it out

Not feeling ready yet? These can help:

TT.New!Area and perimeter of rectangles with fractions

TT.New!Area and perimeter of rectangles with decimals

JJ.1Compare and convert metric units of length

II.1Compare and convert customary units of length

Lesson: Area of rectangles

Lesson: Perimeter

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