Question

The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm² find the width of this rectangle.{show your working}

Answer 1

Answer:

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Step-by-step explanation:

the length of a rectangle exceeds the width by 2 cm. If the diagonal is 10 cm long, find the width of the rectangle.

.

Let w = width

then

w+2 = length

.

applying Pythagorean theorem we have:

w^2 + (w+2)^2 = 10^2

w^2 + (w+2)(w+2) = 100

w^2 + (w^2+4w+4) = 100

2w^2+4w+4 = 100

w^2+2w+2 = 50

w^2+2w-48 = 0

(w+8)(w-6) = 0

w = {-8, 6}

throw out the negative solution leaving:

w = 6 cm