Question

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

Answer 1

I think it’s D as well!

Answer 2

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)