The length of a rectangular garden is 7 feet more than 5 times the width. If the
perimeter of the garden is 272 feet, what are its dimensions? Round to the nearest
tenth, if necessary.

Respuesta :

Answer:

The dimensions of the garden is 21.5 ft by 114.5 ft

Step-by-step explanation:

Here, we want to find the dimensions of a rectangular garden.

From the question, we are told that the length is 7 feet more than 5 times the width.

Let the length be l and the width be w;

Thus, mathematically;

l - 7 = 5w

l = 5w + 7

Mathematically;

Perimeter of rectangle = 2(l + w)

Hence;

2(l + w) = 272

divide both sides by 2

l + w = 136

but l = 7 + 5w

7 + 5w + w = 136

7 + 6w = 136

6w = 136-7

6w = 129

w = 129/6

w = 21.5 ft

But,

l = 5w + 7

l = 5(21.5) + 7

l = 114.5 ft