The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle

Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

answer:

c) the x-coordinate of the center of the circle increases by 3