Question

The length of a rectangular piece of carpet is 4m longer than its width.
The area of the carpet is 16 m^2.
Calculate the width of the carpet. Give your answer correct to 3 significant figures.

Answer 1

Answer:

4 m

Step-by-step explanation:

let , the width of the carpet be x m

Then the length will be = x+4 m (because the length is 4m longer than width )

Area =16m²

Area of a rectangle =length × width

16 = x × (x+4)

16 = x × x + 4 × x

16= x² + 4x

0= x²+4x-16

0=x² +4x -4x -16

0=x(x+4) -4(x+4)

0=(x+4)(x-4)

X will be 4 because the value of x can never be negative like -4 so it will be 4.

:. x=4

Ans:- The width of the carpet is 4 m.

Hope it helps

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