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Romashka-Z-Leto [24]
3 years ago
6

The area of the rectangle is 54 units squared. Write and solve an equation to find x.

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer: x=5

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

A=lw

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

l=4x-2\\\\w=3

You know that the area of that rectangle is the following:

A=54

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5

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