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Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. The shape of the backyard is rectangular, with the length twice as long as the width. What are the dimensions of the backyard?

Which quadratic equation would be used to solve for the unknown dimensions?

0 = 2w2
512 = w2
512 = 2w2
512 = 2l + 2w

Sagot :

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Answer:

Step-by-step explanation:

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Answer:

  (c)  512 = 2w²

Step-by-step explanation:

You want the quadratic equation that can be solved to find the width of a yard that is 512 square feet, and twice as long as wide.

Equation

The equation for the area is ...

  A = LW

Since the length is twice the width, we have ...

  L = 2W

Substituting that into the area formula gives ...

  A = (2W)·W = 2W²

We know the area is 512 square feet, so we can write ...

  512 = 2W² . . . . . . . matches choice C

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