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The model of a yard is shown below. In the model, side V is 24 centimeters, side X is 30 centimeters, and side Wis 18 centimeters. Felicia is putting fencing around the yard. If puts 7 wires along each side, how much wire, in feet, will Feli actually use to surround the whole yard? (6 cm 4 ft key)

User Alexandru Cosoi
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1 Answer

22 votes
22 votes

ANSWER

336 ft

Step-by-step explanation

The wire is put 7 times around each side.

To find the amount of wire she will need in feet, first find the perimeter of the shape, multiply by 7, then convert to feet using the key given.

To find the perimeter, find the sum of all the side lengths:


\begin{gathered} P=24+30+18 \\ P=72\operatorname{cm} \end{gathered}

Now, multiply by 7:


\begin{gathered} 72\cdot7 \\ =504\operatorname{cm} \end{gathered}

Finally, convert tto feet using 6 cm = 4 ft:


\begin{gathered} 6\operatorname{cm}=4ft \\ 504\operatorname{cm}=x\text{ ft} \end{gathered}

Cross-multiply:


\begin{gathered} x\cdot6=504\cdot4 \\ x=(504\cdot4)/(6) \\ x=336\text{ ft} \end{gathered}

Felicia will use 336 ft f wire to surround the whole yard.

User Wojtek
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