Question

23 yd78 yd(a) Use the calculator to find the perimeter and area of the field.Make sure to include the correct units.(b) Keiko will walk around the field.Which measure would be used in finding how long it will take?(c) The field will be covered by artificial turf,Which measure would be used in finding the amount of turf needed?

Answer 1

Notice that the shape is a rectangle whose length (l) is 78yd and width (w) is 23yd.

a) The perimeter and area of a rectangle are given by the formulas below

`\begin{gathered} P=2l+2w \\ \text{and} \\ A=lw \end{gathered}`

Thus, in our case,

`\begin{gathered} \Rightarrow P=2\cdot78+2\cdot23=202 \\ \text{and} \\ A=78\cdot23=1794 \end{gathered}`

The answers to part A are Perimeter=202yd, Area=1794yd^2.

b) The perimeter is defined as the boundary of a shape; therefore, since Keiko will walk around the field, we need to use the perimeter. The answer to part b) is Perimeter.

c) The area of a figure is its surface. Therefore, if we need to cover the field with turf, we need to use its area. The answer to part c) is Area.