Question

Claire wants to build a patio outside her café. The rectangular space outside of Claire's café is three times as long as it is wide. The area of the space is 48 m2. Claire

would like to build a patio with dimensions 3.5 m by 12.5 m in this space. Will it fit? Explain.

pls help​

Answer 1

Explanation:

Let length of space be lm and width be wm.

l = 3w --(1)

lw = 48 --(2)

sub (1) into (2):

3w(w) = 48

3w^2 = 48

w^2 = 16

w = ± 4 (rej -4 since w > 0)

when w = 4, l = 3(4) = 12

Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit

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Answer 2

Explanation:

It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.