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3 years ago

The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

Its 3m i just took it and put the answer 4m in and it said it was wrong

iris [78.8K]3 years ago

6 0

Length(l)= 4+ w
Width(w)=w
Area(A)= 21m^2

so keep in mind Area= Length × width

A= l×w
21=(4+w)(w)
21= 4w+ 2w
21=6w
w=3.5

The width is 3.5m

so the answer is about 4m

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<h3>Answer:</h3>

The answer would be 5 inches for the width and 2 inches for the length of the rectangle.

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The first step would be to write an equation:

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Next do the distributive property:

2x+ 2(x-3) = 14 inches ---> 2x+ 2x-6 = 14 inches

After that, combine like terms:

2x+ 2x-6 = 14 inches ---> 4x-6 = 14 inches

Then, add 6 to both sides:

4x-6 = 14 inches ---> 4x-6<em>+(6)</em> = 14 inches<em>+(6) </em>---> 4x = 20 inches

Following this, divide both sides by 4:

4x = 20 inches ---> 4x<em>÷(4)</em> = 20 inches<em>÷(4) </em>---> <u>x = 5 inches</u>

<em>You now have the side length of the rectangle's width.</em>

Lastly, find the length.

5 - 3 = 2 inches

To double-check, check with the equation.

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