Question

Figure A has an area of 18 square feet. Figure B has an area of 98 square feet and one of the side lengths is 14 feet. Find the missing corresponding side length if figure A is similar to Figure B

Answer 1

Answer:
9 feet

Explanation:

To find the missing corresponding side length of figure A, we can use the concept of similar figures. Similar figures have the same shape, but may be different sizes. This means that the ratios of the side lengths of similar figures are equal.

We can use this property to set up a proportion to find the missing side length of figure A. Let's call the missing side length of figure A "x." Then we can set up the proportion:

(side length of figure A) / (side length of figure B) = (area of figure A) / (area of figure B)

Substituting in the given information, we get:

x / 14 = 18 / 98

We can cross-multiply to solve for x:

14x = 18 * 98

14x = 1764

x = 126 / 14

x = 9

Therefore, the missing corresponding side length of figure A is 9 feet.