Question

Complete the work to find the dimensions of the rectangle. w(2w + 4) = 240 2w2 + 4w = 240 2w2 + 4w – 240 = 0 2(w + 12)(w – 10) = 0 What is the width of the rectangle? What is the length of the rectangle?

Answer 1

the width is 10 cm and the length is 24cm

Explanation:

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Answer 2

Length = 24 and width = 10

Explanation:

Initially we start with;

w(2w + 4) = 240

Since we are dealing with a rectangle, it means that w is the width while (2w + 4) is the length.

Further more we see that;

2(w + 12)(w – 10) = 0

Thus means that;

w + 12 = 0 or w - 10 = 0

Thus,w = -12 or w = 10

Width can't be negative and so we pick w = 10

Since length = (2w + 4), then;

Length = 2(10) + 4

Length = 20 + 4 = 24