your aunt is building a garden in her backyard.she has 90ft of fencing to surroud it.if she wants the lenght to be 15 ft onger than the width , what should the dimensions of her garden be

Let w represent the width.

2w * 2(w+15) = 90
4w + 30 = 90
4w = 60
w = 15

Does that work?
15 + 15 + 30 + 30 = 90

Yep!

To find the dimensions of your aunt's garden, we can use the information given. Let's assume the width of the garden is "W" feet.

According to the problem, the length of the garden is 15 feet longer than the width. So, the length of the garden would be W + 15 feet.

To calculate the amount of fencing needed to surround the garden, we need to add up all the sides. The garden has two sides with width W and two sides with length (W + 15). Therefore, the total amount of fencing needed is:

2W + 2(W + 15)

Since the total amount of fencing is given as 90 feet, we can set up the equation:

2W + 2(W + 15) = 90

Let's solve this equation to find the value of W:

2W + 2W + 30 = 90
4W + 30 = 90
4W = 90 - 30
4W = 60
W = 60/4
W = 15

So, the width of your aunt's garden should be 15 feet.

To find the length, we can substitute the value of W back into the equation:

Length = Width + 15 = 15 + 15 = 30 feet

Therefore, the dimensions of your aunt's garden should be a width of 15 feet and a length of 30 feet.