The area of a rectangular vegetable patch is 27 square meters. The vegetable patch is 9 meters long. How wide is it? _____ meters

Define Variables: Let w be the width of the rectangular vegetable patch. We know that the area of a rectangle is given by the formula Area = length * width.Calculate Area: Area of the vegetable patch: 27 square meters. Length of the vegetable patch: 9 meters. Substitute 27 for Area and 9 for length in the formula Area = length * width. 27 = 9 * wSolve for Width: Solve for w. 27 = 9w Divide both sides by 9 to isolate w. 27 / 9 = (9w) / 9 3 = w Width of the vegetable patch: 3 meters.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The area of a rectangular vegetable patch is $27\,\text{square meters}$ . The vegetable patch is $9\,\text{meters}$ long. How wide is it? $\newline$ $\_\_\_\_$ meters

View step-by-step help

Home

Math Problems

Algebra 1

Area and perimeter: word problems

Full solution

Q. The area of a rectangular vegetable patch is

27\,\text{square meters}

. The vegetable patch is

9\,\text{meters}

long. How wide is it?

\newline

\_\_\_\_

meters

Define Variables: Let $w$ be the width of the rectangular vegetable patch. $\newline$ We know that the area of a rectangle is given by the formula $\text{Area} = \text{length} \times \text{width}$ .
Calculate Area: Area of the vegetable patch: $27$ square meters. $\newline$ Length of the vegetable patch: $9$ meters. $\newline$ Substitute $27$ for Area and $9$ for length in the formula $\text{Area} = \text{length} \times \text{width}$ . $\newline$ $27 = 9 \times w$
Solve for Width: Solve for $w$ . $27 = 9w$ Divide both sides by $9$ to isolate $w$ . $\frac{27}{9} = \frac{9w}{9}$ $3 = w$ Width of the vegetable patch: $3$ meters.