Chapter 7: Q5. (page 243)

ABCD is a parallelogram. Find the value of each ratio.
$A D : p e r i m e t e r o f A B C D$

Short Answer

Expert verified

The simplest form of $A D : p e r i m e t e r o f A B C D = 3 : 16$

Step by step solution

Step 1. Given information.

According to the given figure is,

In parallelogram,

$\begin{array}{l} A D = B C = 9 \\ p e r i m e t e r o f A B C D = A B + B C + C D + D A \\ = 15 + 9 + 15 + 9 \\ = 48 \end{array}$

Thus,

$\begin{array}{l} A D : p e r i m e t e r o f A B C D = 9 : 48 \\ \frac{A D}{p e r i m e t e r o f A B C D} = \frac{9}{48} \end{array}$

Step 2. Concept Used.

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

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} 9 = 3 \times 3 \\ 48 = 2 \times 2 \times 2 \times 2 \times 3 \end{array}$

Here GCF is3.

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

Here we will divide the numerator and denominator by.3

$\frac{9}{48} = \frac{9 / 3}{48 / 3} = \frac{3}{16}$

Therefore, the simplest form of the given ratio is $A D : p e r i m e t e r o f A B C D = 3 : 16$ .

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ABCD is a parallelogram. Find the value of each ratio.
$A D : p e r i m e t e r o f A B C D$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

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

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

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

One App. One Place for Learning.

Most popular questions from this chapter

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