gilliam2065 gilliam2065
  • 16-06-2021
  • Mathematics
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An envelope has an area of 40 square inches and a perimeter of 28 inches. What are the dimensions of the envelope?

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fichoh
fichoh fichoh
  • 17-06-2021

Answer:

10 inches by 4 inches

Step-by-step explanation:

Area of envelope, A = 40 in²

Perimeter of envelope, P = 28 in

Area = Length * width, L*W

Perimeter = 2(L + W)

40 = LW - - - (1)

28 = 2(L+W)

28/2 = L+W

14 = L+W - - - (2)

Solving like a quadratic equation ;

We need two numbers whose sum gives 14 and product gives 40

The numbers are 10 and 4

(10*4) = 40 and (10+4) = 14

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