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Marco's class is painting a mural on the side of their school. The mural covers a
3(1)/(2)m high, rectangular wall. It has an area of
28m^(2).
What is the length of the mural?
m

Marco's class is painting a mural on the side of their school. The mural covers a $3 \frac{1}{2} \mathrm{~m}$ high, rectangular wall. It has an area of $28 \mathrm{~m}^{2}$ . $\newline$ What is the length of the mural? $\newline$ m

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Pythagorean Theorem and its converse

Full solution

Q. Marco's class is painting a mural on the side of their school. The mural covers a

3 \frac{1}{2} \mathrm{~m}

high, rectangular wall. It has an area of

28 \mathrm{~m}^{2}

.

\newline

What is the length of the mural?

\newline

m

Identify Problem & Values: Understand the problem and identify the given values. $\newline$ We are given the height of the mural, which is $3.5$ meters ( $3\frac{1}{2}m$ ), and the area of the mural, which is $28$ square meters ( $28m^{2}$ ). We need to find the length of the mural.
Use Area Formula: Use the formula for the area of a rectangle to find the length. $\newline$ The area of a rectangle is given by the formula $\text{Area} = \text{Length} \times \text{Height}$ . We can rearrange this formula to solve for the length: $\text{Length} = \frac{\text{Area}}{\text{Height}}$ .
Calculate Length: Plug in the given values and calculate the length. $\newline$ Length = $\frac{28m^{2}}{3.5m}$
Perform Division: Perform the division to find the length. $\newline$ Length = $28 \div 3.5$ $\newline$ Length = $8$
Check Calculation: Check the calculation for any mathematical errors. $\newline$ Recheck the division: $28 \div 3.5 = 8$ . There are no mathematical errors in the calculation.

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