Question

Rachel made a mosaic from different color rectangular tiles. Three tiles measured 3 inches 3 2 1 × inches. Six tiles measured 4 inches 3 inches. What is the area of the whole mosaic in square × 4 1 inches? Show your thinking

Answer 1

Answer:

109.5 sq inch

Step-by-step explanation:

Lets find out the area of the tiles i.e

->If three tiles measured 3 inches 3 2 1 × inches

Area of each tile: 3 x 3 $\frac{1}{2}$ = 10 $\frac{1}{2}$ sq inch.

Area of three tiles : 3 x 10 $\frac{1}{2}$ = 31 $\frac{1}{2}$ sq inch

->If six tiles measured 4 inches 3 $\frac{1}{4}$ inches

Area of each tile: 4 x  3 $\frac{1}{4}$  = 13 sq inch.

Area of six tiles: 6 x 13 = 78 sq inch.

Therefore,  the area of the whole mosaic in square inches can be calculated by taking the sum of areas of three and six tiles

31 $\frac{1}{2}$ sq inch + 78 sq inch= 109.5 sq inch