Question

Find the area of the parallelogram that has a base of 2 1/2 ft and a height of 1 1/4ft

Answer 1

Answer:

The area of the parallelogram is $3\frac{1}{8}ft^{2}$

Step-by-step explanation:

Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction $2\frac{1}{3}$: 2 is the whole number, 1 is the numerator and 3 is the denominator.

If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.

$2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}$

1. Convert the mixed fractions in the improper fraction type, as follows:

$Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}$

2. Replace the data in the equation of a parallelogram

$Area= Base*Height$

$Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}$

3. Convert the improper fraction in a mixed fraction

$Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}$

The area of the parallelogram is $3\frac{1}{8}ft^{2}$