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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Rectangles

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Exercise 2 Page 508

Recall that in a rectangle, diagonals bisect each other.

7 58 ft

Practice makes perfect

We are asked to find the measure of SQ using the given information. Let's recall that in a rectangle, diagonals bisect each other.

Since we know that ST=TQ, the measure of TQ is also 3 1316. By the Segment Addition Postulate, we can find the measure of SQ by adding the measures of ST and TQ.

SQ=ST+TQ

ST= 3 1316, TQ= 3 1316

SQ= 3 1316+ 3 1316

▼

Simplify right-hand side

Write as a sum

SQ=3+13/16+3+13/16

Add terms

SQ=6+13/16+13/16

Add fractions

SQ=6+13+13/16

Add terms

SQ=6+26/16

Write as a sum

SQ=6+16+10/16

Write as a sum of fractions

SQ=6+16/16+10/16

Calculate quotient

SQ=6+1+10/16

a/b=.a /2./.b /2.

SQ=6+1+5/8

Add terms

SQ=7+5/8

Add terms

SQ=7 58

The measure of SQ is 7 58 ft.

Subchapter links

Exercises p.508-511