Question

Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will the area be? What are two possible lengths and widths she could use?

Answer 1

Answer:

1. area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

2. i. 5 feet by 2$\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

                           = 5 x 4 ½

                           = 5 x $\frac{9}{2}$

Area of the pen = $\frac{45}{2}$

                           = 22 ½ $ft^{2}$

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

        = ½ x $\frac{45}{2}$

        = $\frac{45}{4}$

        = 11 $\frac{1}{4}$

area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

The area of the new pen would be 11 $\frac{1}{4}$ $ft^{2}$.

The possible values she could use are:

i. 5 feet by 2$\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet