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A school playground is in the shape of a rectangle 500 feet long and 400 feet wide If fencing costs 19 per yard, what will it cost to place fencing around the playground? square

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A school playground is in the shape of a rectangle 500 feet long and 400 feet wide If fencing costs 19 per yard, what
will it cost to place fencing around the playground?
 square

A school playground is in the shape of a rectangle 500 feet long and 400 feet wide If fencing costs 19 per yard, what will it cost to place fencing around the playground? square

Solución

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Raquelveterano · Tutor durante 11 años
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To find the cost of placing fencing around the playground, we need to calculate the perimeter of the rectangle and then multiply it by the cost of fencing per yard.<br /><br />Step 1: Calculate the perimeter of the rectangle.<br />The formula for the perimeter of a rectangle is P = 2(l + w), where l is the length and w is the width.<br />In this case, the length is 500 feet and the width is 400 feet.<br />P = 2(500 + 400)<br />P = 2(900)<br />P = 1800 feet<br /><br />Step 2: Convert the perimeter from feet to yards.<br />There are 3 feet in a yard, so we divide the perimeter by 3 to convert it to yards.<br />1800 feet / 3 = 600 yards<br /><br />Step 3: Calculate the cost of fencing.<br />The cost of fencing is $19 per yard.<br />Total cost = 600 yards * $19/yard<br />Total cost = $11,400<br /><br />Therefore, it will cost $11,400 to place fencing around the playground.
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