The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y?

A) 5xy - 15x = 125

B) 5xy + 15x = 125

C) 15x2 - 5xy = 125

D) 15x2 + 5xy = 125

Question

Konner Simmons

Mathematics

31 May, 03:53

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y?

A) 5xy - 15x = 125

B) 5xy + 15x = 125

C) 15x2 - 5xy = 125

D) 15x2 + 5xy = 125

+4

Answers (2)

Know the Answer?

Zane Copeland · Answer 1

Area=length x width

A=10x (3/2 x + 1/2 y).

Now Distribute ...

A=30x^2/2 + 10xy/2)

Now simplify fractions ...

A=15x^2 + 5xy = 125

So I believe your answer is D)

Natalee Mcdaniel · Answer 2

I think it's D as well!

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y?A) 5xy - 15x = 125B) 5xy + 15x = 125C) 15x2 - 5xy = 125D) 15x2 + 5xy = 125