Question

5. Last year, Mr. Petersen's rectangular garden had a width of 5 meters and an area of 20 square meters.

This year, he wants to make the garden three times as long and two times as wide.
a. Solve for the length of last year's garden using the area formula. Then, draw and label the
measurements of this year's garden.
Last Year
This Year
5 m
20
square
meters

Answer 1

Last Year Length = 4 meters

This Year Length = 12 meters

This Year Width = 10 meters

Explanation:

We know, area of the rectangle is given by the formula:

Area = Length * Width

Given width = 5

Area = 20

We solve for Length:

Area = Length * Width

20 = Length * 5

Length = 20/5 = 4

Last Year Length = 4 meters

Now, this year, the length would be 3 times as long, so new length would be:

This Year Length = 4 * 3 = 12 meters

This year, the width would be two times previous year, so width would be:

This Year Width = 5 * 2 = 10 meters