You decide to build a rectangular garden in your backyard. You've designated an area of 180m^2 for your garden. Due to the configuration of your backyard, the width of the garden must be 8 meters less than the length.

The dimension of the rectangular garden is 8m by 10m

The formula for calculating the area of the rectangular garden is expressed as;

A = lw

l is the length

w is the width

If the width of the garden must be 8 meters less than the length, then;

w = l - 8

Substitute into the formula;

180 = l(l-8)

180 =l^2 - 8l

l^2-8l - 180 = 0

Factorize the result;

l(l+10)-8(l+10) = 0

(l-8)(l+10)=0

l = 8 and -10

Since A = lw

w = A/l

w = 180/8

w = 10

Hence the dimension of the rectangular garden is 8m by 10m

Learn more on area of the rectangle here:link

Step-by-step explanation:

Given

Required

Determine the Length and the Width

Represent Width with W and Length with L;

So, we have:

Expand

Split

or

or

But length cant be negative:

So,

Recall that:

Hence:

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step-by-step explanation: