3 years ago

The two rectangles shown have equal areas. Find the value of x

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

= 18x+36

2nd rectangle

A = l*w

= 15*(3x-30)

= 45x-450

Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x

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