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Chapter 7: Q5. (page 243)

ABCD is a parallelogram. Find the value of each ratio.

AD:perimeterofABCD

Short Answer

Expert verified

The simplest form ofAD:perimeterofABCD=3:16

Step by step solution

01

Step 1. Given information.

According to the given figure is,

In parallelogram,

AD=BC=9perimeterofABCD=AB+BC+CD+DA=15+9+15+9=48

Thus,

AD:perimeterofABCD=9:48ADperimeterofABCD=948

02

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

03

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

9=3脳348=2脳2脳2脳2脳3

Here GCF is3.

04

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by.3

948=9/348/3=316

Therefore, the simplest form of the given ratio isAD:perimeterofABCD=3:16.

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