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4 votes
What is the length of HG?

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

What is the length of HG? mm E Type in your response. 8 mm 12 mm H A = 68 mm2 DONE-example-1
User Isabsent
by
7.3k points

1 Answer

6 votes

Answer:


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

User Saariko
by
8.8k points

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