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91Ó°ÊÓ

AE↔,BF↔,CG↔and DH↔are parallel, with EF=FG=GH. Complete.

If AB=5, then AD= ? .

Short Answer

Expert verified

The length of AD is 15 units.

Step by step solution

01

Step 1. Consider the diagram.

The parallel lines are shown as:

AE, BF, CG and DH are parallel to each other and EF=FG=GH.

The length of AB is 5 units

02

Step 2. Show the calculation.

Here, ADHE is the trapezoid as AE is parallel to DH.

As EF=FG=GH and AE, BF, CG and DH are parallel to each other then the lines BF and CG are the midsegment of the trapezoid.

Hence,

EF=FG=GH

The length of AD is calculated as:

AD=AB+BC+CD=AB+AB+AB=5+5+5=15

Thus, the length of AD is 15 units.

03

Step 3. State the conclusion.

Therefore, the length of AD is 15 units.

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