Question

the area of a rectangular dog pen is 8 1/2 square feet. if the width is 3 2/5 feet, what is the length, in feet?

Answer 1

2.5 ft.

a rectangle's area is Length • Width

$8.5 = 3.4 \times x$
$8.5 \div 3.4 = x$
$2.5 = x$

Answer 2

Answer:

Area of rectangle is equal to multiply the length by width

i.e $A = l\times w$           .....[1]

where

A is the area of rectangle ,

l is the length and

w is the width of the rectangle respectively.

Given : Area of rectangular do pen(A) = $8\frac{1}{2} = \frac{17}{2}$ square feet and width(w) = $3\frac{2}{5} = \frac{17}{5}$ feet.

To calculate the length in feet.

Substitute the given values in [1],  we get

$\frac{17}{2}= l\times \frac{17}{5}$

Multiply both sides by $\frac{5}{17}$ we get;

$l = \frac{17}{2} \times \frac{5}{17} =\frac{5}{2} = 2\frac{1}{2}$ feet.

Therefore, the length in feet is, $2\frac{1}{2}$