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?

Respuesta :

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

Let the length of the rectangular field be x.

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

So width = [tex] (\frac{3}{8} )x [/tex] = [tex] \frac{3x}{8} [/tex]

Given, the width of the rectangular field = 240m

So we can write the equation as,

[tex] \frac{3x}{8} = 240 [/tex]

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

[tex] (\frac{3x}{8} )(8) = (240)(8) [/tex]

[tex] 3x = (240)(8) [/tex]

[tex] 3x = 1920 [/tex]

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

[tex] \frac{3x}{3} = \frac{1920}{3} [/tex]

[tex] x = \frac{1920}{3} [/tex]

[tex] x = 640 [/tex]

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 = [tex] (l)(w) [/tex]

where, [tex] l [/tex] = length and [tex] w [/tex] = width

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

Area = [tex] (0.64)(0.24) [/tex][tex] km^2 [/tex]

= [tex] 0.1536 km^2 [/tex] = [tex] 0.154 km^2 [/tex] ( Approximately taken to the nearest thousandth)

So we have got the required answer.

The area of the rectangular field = [tex] 0.154 km^2 [/tex]