High School

The perimeter of a postcard is 22 inches. The postcard is 6 inches wide. How tall is it?

Answer :

To find the height of a postcard with a perimeter of 22 inches and a width of 6 inches, we use the formula for the perimeter of a rectangle and solve for the length, which is the height, resulting in 5 inches.

We start by using the formula for the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since we know the perimeter P is 22 inches and the width w is 6 inches, we can set up the equation 22 = 2l + 2(6).

By simplifying, we get 22 = 2l + 12.

Subtracting 12 from both sides gives us 10 = 2l.

Finally, dividing by 2 gives us the height (length) l = 5 inches.

To find the height of the postcard with a perimeter of 22 inches and a width of 6 inches,