The length of a rectangle is 3 yards more than four times its width. The perimeter is 106 yards. Find the dimensions of the rectangle

The length of the rectangle is 43 yards.

The width of the rectangle is 10 yards.

Explanation:

It is given that the perimeter of the rectangle is 106 yards.

Let where l is the length of the rectangle and

w is the width of the rectangle.

The formula for the perimeter of the rectangle is given by

Substituting the values of P and l, we have,

Simplifying, we have,

Subtracting both sides by 6, we have,

Dividing by 10, we get,

Thus, the width of the rectangle is 10 yards.

Now, substituting in , we get,

Thus, the length of the rectangle is 43 yards.

Hence, the length and breadth of the rectangle are 43 yards and 10 yards respectively.

step-by-step explanation: