Question

Sandra has two window's, the larger of which has dimensions 5.5 tunes as big as the smaller.How do the areas of the two window's compare? The larger window's area is times as greater than the smaller window's area

Answer 1

(a) The area of the larger window will be greater than the area of the smaller window by the square of its scaled dimension.

(b)The larger window's area is 30.25 times greater than the smaller window's area

Explanation:

For a typical example, lets take the dimension of the smaller window to be 1 inch by 1 inch

Area of Small Window=1X1=1 square inch

Since the dimensions are 5.5 times bigger, Dimensions of Larger Window = 5.5 X 5.5 Square Inch

Area of Large Window=5.5 X 5.5 =30.25 square inches

We therefore conclude as above.