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3 years ago

Question 19 I know the answer is 1.5 but how

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Suppose the width of the path is x.
the dimensions of the extended rectangle are (12+x+x), and (16+x+x)
(12+2x)(16+2x)=285
4x²+56x+192=285
4x²+56x-93=0
Not easy to factor it, so use the quadratic formula to solve:
x={-56+√[(56²-4*4*(-93)]}/2*4 or x={-56-√[(56²-4*4*(-93)]}/2*4
x=1.5 (ignore the negative solution.)

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Step-by-step explanation:

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<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

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