Question

The diagram shows the shape of a plot of land that Maria will use for her garden.

She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ?

18 feet
30 feet
36 feet
42 feet

Answer 1

42

Explanation:

just took it and got it right B)

Answer 2

Let's draw a perpendicular GI from the point G on FJ.

So, GI = HJ = 24 ft

And IJ = GH = 24 ft

Let's assume FI = x.

Now we can use right triangle FIG to find the length of x.

By using Pythagorean formula we can set up an equation as following:

x² + 24² = 30²

x² + 576 = 900

x² = 900 - 576 Subtract 576 from each sides.

x² = 324

x = 18

Now FJ = FI + IJ

= 18 + 24

= 42

So, length of line segment FJ is 42 feet.

Hope this helps you!