Arectangular garden has a perimeter of 172 feet. the length of the garden is 24 feet more than the width. what are the dimensions of the garden? (recall the formula p = 2l + 2w.)

Perimeter of a rectangle is given by:

       .....[1]

where

P is the perimeter of a rectangle

L is the length of the rectangle

W is the width of the rectangle.

As per the statement:

A rectangular garden has a perimeter of 172 feet.

⇒P = 172 feet

It is also given that:

The length of the garden is 24 feet more than the width.

⇒

Substitute the given values in [1] we have;

Combine like terms;

Divide both sides by 2 we have;

Subtract 24 from both sides we have;

Divide both sides by 2 we get;

31 feet = W

Then;

feet.

therefore, the dimension of the garden are:

feet and W = 31 feet

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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