Change the following mixed expressions to fractions and then simplify the complex fractions.

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

6 0

Answer:

X=2

Step-by-step explanation:

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A square has a side length of x inches. Each side of the square will be increased by 8 inches to create a larger square. If the

Norma-Jean [14]

X = 2

A square has 4 sides. To get the perimeter of a square, you could multiply the length of one side by 4.

One side of the larger triangle is x inches plus an additional 8 inches, which can be written as (x+8)

To get the perimeter of the larger square, multiply the expression (x+8) by 4. The question states the larger square’s perimeter is 40 inches.

You end up with this equation: 4(x + 8) = 40

To solve first distribution 4 into (x + 8).
4x + 32 = 40 | subtract 32 from both sides
4x = 8 | divide each side by 4
x = 2 inches

So the side length of the original square is 2 inches. To check your work, go back and plug x = 2 into the original equation. 8 in + 2 in = 10 inches, and 10 inches x 4 = 40 inches, so x = 2 is the solution

3 0

2 years ago

If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?

Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

$A=(4)(16)=64\ units^2$