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Chapter 5: Q16 (page 187)

Quad. FLAT is a rectangle.

IfTO=4y+7 and FA=30, find the value of y.

Short Answer

Expert verified

The value of y is 2.

Step by step solution

01

Step 1. Description of step.

The diagonals of the rectangle are equal in length and bisect each other.

Therefore, TO=LO=FO=AO.

02

Step 2. Description of step.

A diagonal FA can be written as FA=FO+AO.

Substitute TO for FO and AO.

FA=TO+TO=2TO

03

Step 3. Description of step.

Substitute 30 for FA and 4y+7 for TO into FA=2TO to find the value of TO.

30=24y+730=8y+148y=16y=2

Therefore, the value of y is 2.

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