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4 years ago

The length of the rectangle is 8 cm greater than its width find the dimensions of the rectangle if it's area is 105cm^2

Mathematics

1 answer:

Leya [2.2K]4 years ago

5 0

<h2>Greetings!</h2>

Answer:

Width = 7

Length = 15

Step-by-step explanation:

Let x be the width value:

Because the length is 8cm bigger than the width(x), this can be shown by:

Length = x + 8

If you recall the equation for the area of a rectangle:

Area = length x width

Simply plug the known values in:

105 = (x + 8) * x

(x * x) + (8 * x) = 105

x² + 8x = 105

Move the +105 to the other side making it a -105, meaning that this is now a quadratic:

x² + 8x - 105 = 0

Factorise this:

(x + 15) ( x - 7)

So x = -15 or x = 7

X has to be 7 because you cannot have a negative measurement.

This means that:

The width = 7

And the length = 7 + 8 = 15

<h2>Hope this helps!</h2>

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Learn more:

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2. Linear equation application brainly.com/question/2479097

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Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

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