The rectangle with vertices (-1,y), (7,y) (7,3) and (-1,3) has an area of 72 square units, and y is positive. What is the value of y?

Guest Nov 17, 2019

#1**+2 **

These are the two points, (-1,3) and (7,3). We can count the distance, which is __8__.

(-1,y), (7,y)

they must be along x = -1 nad x = 7.

Since we know the area is 72 units, and we know one side of the rectange is __8__, then we can figure out the other side. 72 / 8 = 9

So we add 9 (because y must be positive) to both known coordinates (-1,3) and (7,3) to find y.

3 + 9 = 12

3 + 9 = 12

y must be 12.

CalculatorUser Nov 17, 2019

#1**+2 **

Best Answer

These are the two points, (-1,3) and (7,3). We can count the distance, which is __8__.

(-1,y), (7,y)

they must be along x = -1 nad x = 7.

Since we know the area is 72 units, and we know one side of the rectange is __8__, then we can figure out the other side. 72 / 8 = 9

So we add 9 (because y must be positive) to both known coordinates (-1,3) and (7,3) to find y.

3 + 9 = 12

3 + 9 = 12

y must be 12.

CalculatorUser Nov 17, 2019