Question

Nadia is making a rectangular moisac out of 1/2 -inch by 1/2 -inch tiles. The rectangle is 12 inches long and 3 1/2 inches wide. How many tiles will nadia use to cover the rectangle completely

Answer 1

Answer:

168

Step-by-step explanation:

GIVEN: Nadia is making a rectangular moisac out of $\frac{1}{2}$ inch by $\frac{1}{2}$ inch tiles. The rectangle is $12$ inches long and $3\frac{1}{2}$ inches wide.

TO FIND: How many tiles will Nadia use to cover the rectangle completely.

SOLUTION:

Area of rectangular moisac$=\text{length}\times\text{width}$

                                            $=12\times3\frac{1}{2}=\frac{12\times7}{2}$

                                            $=42 \text{ inch}^2$

Area of one   tile $=\text{side}^2$

                           $=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}\text{ inch}^2$

According to question

Total tiles required $=\frac{\text{Area of rectangular moisac}}{\text{Area of one tile}}$

                                $=\frac{42}{\frac{1}{4}}=42\times4$

                                $=168$ tiles

Hence, 168 tiles are required to completely cover the rectangular moisac.