Question

The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units?

Answer 1

No, the perimeter cannot be 60 units when the width is 11 units if the length is 24 units.

We know that the perimeter of a rectangle = 2(length) + 2(width)
If we plug in the values for the length, width, and perimeter, we get:

60 = 2(24) + 2(11)

If we simplify the right side of the equation by multiplying out the coefficients and adding together the remaining terms, we get:

60 = 48 + 22
60 = 70

Therefore, because 60 is not equal to 70, the rectangle cannot have these dimensions.

Hope this helps!

Answer 2

Hello!

In a rectangle opposite sides are equal. Therefore we have below.

11+11+24+24=70

Therefore, the perimeter cannot be 60 when the width is 11 units.

I hope this helps!