Question

The area of the rectangle is 50 yd2. What is the formula that shows the length of side y?

Answer 1

Let L = lengthLet W = width Length is 5 yd less than twice the width  ==>  L = 2*W - 5 Area is 52 yd^2  ==>  52 = L*W Substitute the value for L from the 1st equation into the 2nd equation 
52 = (2*W - 5) * W52 = 2*W^2 - 5*W0 = 2*W^2 - 5*W - 52 0 = (2W - 13)*(W + 4) 2W - 13 = 0  or  W + 4 = 0W = 13/2      or  W = -4 Width cannot be negative so discard W = -4  W = 13/2  ==>  L = 2*(13/2) - 5 = 13 - 5 = 8  So the width is 13/2 yards and the length is 8 yards  Check:  2*(13/2) - 5 = 13 - 5 = 8             (13/2)*8 = 4*13 = 52 yd^2

Answer 2

Answer:

Step-by-step explanation:10y=50