Question

The length of a rectangular garden is 9 feet longer than its width. if the garden's perimeter is 190 feet, what is the area of the garden in square feet?

Answer 1

To find the area of the garden, we determine the width to be 43 feet using the given perimeter and set up an equation. The length is then 52 feet. Multiplying width and length gives us an area of 2236 square feet.

Step-by-step explanation:

First, let's set up equations to find the width and length of the garden. Let w represent the width of the garden. Then, the length will be w + 9 feet. Since the perimeter is the sum of all sides of a rectangle, we can write the following equation for the perimeter (P):

P = 2l + 2w

Where l is the length and w is the width. We know the perimeter is 190 feet, so:

190 = 2(w + 9) + 2w

Now, we simplify and solve for w:

190 = 2w + 18 + 2w

190 = 4w + 18

172 = 4w

w = 43 feet

Then, the length l would be:

l = w + 9 = 43 + 9 = 52 feet

Now that we have both dimensions, the area (A) of the garden can be calculated using the formula:

A = l × w

A = 52 feet × 43 feet

A = 2236 square feet

Thus, the area of the garden is 2236 square feet.

Answer 2

l: 52
w: 43

draw a picture and create a formula.