Question

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

Which equation can be used to solve for x, the side length of the original square?

x2 − 2x − 120 = 0
x2 + 2x − 120 = 0
x2 − 2x + 120 = 0
x2 + 2x + 120 = 0

Answer 1

Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer 2

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

Area of Square-

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Given data is-

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

$A1=x*x=x^{2} units{2}$

the area of the remaining piece of paper is equal to

$A 2=x^{2}-2 x \\ A 2=120 units ^{2}$

so

$x^{2}-2 x=120 x^{2}-2 x-120=0$

therefore, the side length of the original square is x2 − 2x − 120 = 0

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