Question

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

Answer 1

the person on the top is right :)

Step-by-step explanation:

Answer 2

The length of the rectangle is 43 yards.

The width of the rectangle is 10 yards.

Step-by-step explanation:

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

Let
`l=3+4w` 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

`P=2l+2w`

Substituting the values of P and l, we have,

`106=2(3+4w)+2w`

Simplifying, we have,

`106=6+8w+2w`

Subtracting both sides by 6, we have,

`100=10w`

Dividing by 10, we get,

`10=w`

Thus, the width of the rectangle is 10 yards.

Now, substituting
`10=w` in
`l=3+4w`, we get,

`l=3+4(10)\\l=3+40\\l=43`

Thus, the length of the rectangle is 43 yards.

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