# math

A rectangular piece of sheet metal is 4 ft longer than it is wide. (See the illustration.) The area of the piece of sheet metal is 96 ft2. Find its length and width

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1. A = lw

96 = (w+4)(w)

w^2 + 4w -96 = 0

(w +12 )(w-8) =0

w=-12 cannot have a neg value here

w = 8

so l = 12

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2. A rectangular piece of sheet metal is 4 ft longer than it is wide. (See the illustration.) The area of the piece of sheet metal is 45 ft2. Find its length and width?

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3. A rectangular piece of sheet metal is 4 ft longer than it is wide .(See 2
Illustration below ). The area of the piece of sheet is 21 ft . Find its length and width. (Hint : Area of the rectangle = Length ×Width )

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