Answer:
Length: 14 yd
Width: 4.5 yd
Explanation:
Let's use the variable w to represent the width of the rectangle.
We are given that the length of the rectangle is 5yd more than doubled the width, so we can represent the length as 2w+5.
We are also given that the area of the rectangle is 63.
We know that the area of a rectangle is equal to the length multiplied by the width, so we can write the following equation:
(2w+5) * w = 63
We can then solve for w:
2w²+ 5w - 63 = 0
We can factor this equation as follows:
2w²+14w-9w-63=0
2w(w+7)-9(w+7)=0
(w+7)(2w-9) = 0
This means that w=-7 or w=9/2.
However, the width cannot be negative, so w=9/2.
Now that we know the width, we can find the length by substituting w=3 into the equation for the length:
l = 2w+5 = 2*9/2+5 = 14
Therefore, the width of the rectangle is 9/2 or 4.5 yd and the length is 14 yd.