Question

Rachel made a mosaic from different color rectangle tiles 3 tiles measured three and a half inches x 3 inches 6 tiles measures 4 inches x 3 1/4 inches what is the area of the whole mosaic in square inches

Answer 1

So assuming that the only had 3+6=9 tiles
what we have to do it find teh area total
area=legnth times width

3 tiles are 3 and 1/2 times 3
3  times 3 and 1/2=10 and 1/2
times 3 tiles
10 and 1/2 times 3=31 and 1/2 squar inches

6 tiles are 4 by 3 and 1/4
4 times 3 and 1/4=13
6 tiles times 13 inchessquare=78

so we add
31 and 1/2+78=109 and 1/2 square inches

Answer 2

109 ¹/₂ in²

Further explanation

Given:

• Rachel made a mosaic from different color rectangle tiles.
• Three tiles measured 3 ¹/₂ inches x 3 inches.
• Six tiles measured 4 inches x 3 ¹/₄ inches.

Question:

What is the area of the whole mosaic in square inches?

The Process:

Let's use the formula of a rectangular area.

$\boxed{\boxed{ \ Area = length \times width \ }}$

Part-1: three tiles measured 3 ¹/₂ inches x 3 inches.

The area of ​​the three tiles is as follows:

$\boxed{ \ Area = 3 \times length \times width \ }$

$\boxed{ \ Area = 3 \times 3 \times 3\frac{1}{2} \ }$

$\boxed{ \ Area = 3 \times 3 \times \frac{7}{2} \ }$

$\boxed{ \ Area = 9 \times \frac{7}{2} \ }$

$\boxed{\boxed{ \ Area = \frac{63}{2} \ in^2\ }}$

Part-2: six tiles measures 4 inches x 3 ¹/₄ inches.

The area of ​​the six tiles is as follows:

$\boxed{ \ Area = 6 \times length \times width \ }$

$\boxed{ \ Area = 6 \times 4 \times 3\frac{1}{4} \ }$

$\boxed{ \ Area = 6 \times 4 \times \frac{13}{4} \ }$

$\boxed{ \ Area = 24 \times \frac{13}{4} \ }$

Both 24 and 4 are divided by 4.

$\boxed{ \ Area = 6 \times 13 \ }$

$\boxed{\boxed{ \ Area = 78 \ in^2 \ }}$

Finally, let's add up the two areas above to get the area of the whole mosaic.

$\boxed{ \ = \frac{63}{2} + 78 \ }$

$\boxed{ \ = 31\frac{1}{2} + 78 \ }$

$\boxed{ \ = 109\frac{1}{2} \ }$

Thus, the area of the whole mosaic is $\boxed{\boxed{ \ = 109\frac{1}{2} \ in^2 \ }}$

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Keywords: Rachel made a mosaic, different color, rectangle, three tiles, measured, 3 1/2 inches, 3 inches, six tiles, 4 inches x 3 1/4 inches, what is the area, the whole mosaic, in square inches