Two similar quadrilaterals have corresponding sides measuring 10 ft. on Figure A

Question

and 24 ft. on Figure B
. If another side on Figure A
is 8 ft. what would be the length of the corresponding side on Figure B
?(1 point)
ft.

Answer 1

To find the length of the corresponding side on Figure B, we can use the property of similar quadrilaterals, where the ratios of corresponding sides are equal.

Given:

• Corresponding sides: 10 ft (Figure A) and 24 ft (Figure B).
• We need to find the length of the side corresponding to 8 ft (Figure A).

First, we calculate the ratio of the sides: \[ \text{Ratio} = \frac{\text{Side on Figure B}}{\text{Side on Figure A}} = \frac{24 \text{ ft}}{10 \text{ ft}} = \frac{12}{5} \]

Now, we can use this ratio to find the length of the side corresponding to 8 ft on Figure A: \[ \text{Length on Figure B} = \text{Length on Figure A} \times \text{Ratio} \] \[ \text{Length on Figure B} = 8 \text{ ft} \times \frac{12}{5} \]

Calculating this: \[ \text{Length on Figure B} = 8 \times \frac{12}{5} = \frac{96}{5} = 19.2 \text{ ft} \]

Therefore, the length of the corresponding side on Figure B is 19.2 ft.