Question

Mrs. Martin wants to place a ribbon around the outer edge of a rectangular mirror. The area of the mirror is 324 square inches. The width of the mirror is 12 inches. How many inches of ribbon does Mrs. Martin need?

Answer 1

78, because 324 divided by 12 is 27. this means that the width is 12 and the length is 27. 27 times 2 equals 54 and 12 times 2 equals 24. 54+24= 78

Answer 2

78 inches of ribbon does Mrs. Martin need

Explanation:

Area of a rectangle (A) is given by:

`A = lw` .....[1]

where,

l is the length of the rectangle and w is the width of the rectangle.

As per the statement:

The area of the mirror is 324 square inches. The width of the mirror is 12 inches.

⇒A = 324 square inches and w = 12 inches.

By [1] we have;

`324 = 12l`

Divide both sides by 12 we have;

27 = l

or

l = 27 inches

We have to find the inches of ribbon does Mrs. Martin need.

Perimeter of the rectangle(P) = 2(l+w)

Substitute the given values we have;

`P = 2 \cdot (27+12) = 2 \cdot 39 = 78 in`

Therefore, 78 inches of ribbon does Mrs. Martin need