Question

What is the length of HG?

mm
E
Type in your response.
8 mm
12 mm
H
A = 68 mm2
DONE
G
F

Answer 1

`HG = 5`

Explanation:

Given

`HE = 8mm`

`EF = 12mm`

`Area = 68mm^2`

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;

In this case;

`Area = (HG + EF)/(2) * HE`

Substitute the values of Area, HE and EF

`68 = (HG + 12)/(2) * 8`

`68 = (HG + 12) * 4`

Divide both sides by 4

`(68)/(4) = ((HG + 12) * 4)/(4)`

`17 = HG + 12`

Subtract 12 from both sides

`17 - 12 = HG + 12 - 12`

`5 = HG`

`HG = 5`

Hence, the length of HG is 5mm