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  • 13-05-2019
  • Mathematics
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work out the area of the rectangle

work out the area of the rectangle class=

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MathPhys
MathPhys MathPhys
  • 13-05-2019

Answer:

48 cm²

Step-by-step explanation:

Let's call the width and height of the rectangle w and h.

w / h = 3 / 4

2w + 2h = 28

Solve the system of equations with substitution.

w = 3/4 h

2 (3/4 h) + 2h = 28

3/2 h + 2h = 28

7/2 h = 28

h = 8 cm

So the width is:

w = 3/4 (8)

w = 6 cm

So the area is:

A = wh

A = 48 cm²

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