Question

Your Assignment

Answer 1

Given:

The track is a square with a half circle on its left and right sides.

The area of the square is 128 square feet.

To find:

The length of the track.

Solution:

Let side length of the square be x.

Area of square is

$Area=(side)^2$

$128=x^2$

Taking square root on both sides.

$\sqrt{128}=x$

From the given table 127.7 is closed to 128. So, $\sqrt{128}$ is 11.3.

$x=11.3$

Diameter of circle = Side of square = 11.3.

The track has 2 sides of the square and the distance around 1 complete circle(s).

Radius of circle is

$\dfrac{11.3}{2}=5.65$

Length of the truck is sum of length of square and radii of two circles.

$Length =11.3+5.65+5.65$

$Length =22.6$

Therefore, the total length of the truck is 22.6 feet.