Question

A rectangular field is 240m wide. The width of the field is 3/8 the length. What is the area of the field in square kilometers rounded to the nearest thousandth?

Answer 1

Let the length of the rectangular field be x.

Given, the width of the field is 3/8 of the length.

So width = $(\frac{3}{8} )x$ = $\frac{3x}{8}$

Given, the width of the rectangular field = 240m

So we can write the equation as,

$\frac{3x}{8} = 240$

First we have to move 8 to the right side by multiplying 8 to both sides.

$(\frac{3x}{8} )(8) = (240)(8)$

$3x = (240)(8)$

$3x = 1920$

We can get x, by moving 3 to the right side by dividing 3 to both sides.

$\frac{3x}{3} = \frac{1920}{3}$

$x = \frac{1920}{3}$

$x = 640$

So we have got the length of the rectangular field = 640m = 0.64 km.

width of the field = 240m = 0.24 km.

We know the formula to find the area of the rectangle = $(l)(w)$

where, $l$ = length and $w$ = width

By plugging in the values in the formula we will get,

Area = $(0.64)(0.24)$$km^2$

= $0.1536 km^2$ = $0.154 km^2$ ( Approximately taken to the nearest thousandth)

So we have got the required answer.

The area of the rectangular field = $0.154 km^2$

Answer 2

This means you should do 240*3/8 which is 90. so 90 times 240=21600
the answer is 216000km^2