Question

Find the length of LW. If entering your answer as a decimal, round your final answer to the nearest hundredth. LW = ___ Units

Answer 1

17.5 units

Explanation:

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Answer 2

17.5 units

Explanation:

We are given the following values from the diagram above

LA = 3.5 units

AY = Midpoint = 7.0 units

LW = unknown

Step 1

The first step is to determine what AW is.

From the right angled triangle, we obtained these proportions

LA : AY = AY : AW

= LA/AY= AY/AW

Cross Multiply

7× 7 = 3.5 × AW

49 = 3.5 AW

AW = 49/3.5

AW = 14 units

Step 2

LW = AW + LA

LW = 14 units + 3.5 units

LW = 17.5 units