Arectangle is 6yards longer than it is wide. find the dimensions of the rectangle if it’s area is 187 square yards

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where w is width, and l, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

Using the quadratic formula where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

We have two options:

Or

But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length