Question

for a fixed area, the length of rectangle is inversely proportional to its width. a rectangle has a width of 18 feet and a length of 12 feet. if the length is increased to 20 feet, find the width.

Answer 1

10.8 ft

Step-by-step explanation:

The area of the rectangle that has a width of 18 feet and a length of 12 feet is:

Area = Width x Length

Area = 18 ft x 12 ft

Area = 216 ft²

Then, the area keeps constant but the length is increased to 20 ft, so the new length is:

Length₂ = 20 ft

It means that we can write the following equation:

Area = Width₂ x Length₂

Where width₂ is the new width.

So, replacing the values, we get:

216 ft² = Width₂ x 20ft

Finally, divide both sides by 20 ft to get:

216/20 = Width₂ x 20 / 20

10.8 ft = Width₂

Therefore, the new width is 10.8 ft