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

109.5 sq inch

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
`(1)/(2)` = 10
`(1)/(2)` sq inch.

Area of three tiles : 3 x 10
`(1)/(2)` = 31
`(1)/(2)` sq inch

->If six tiles measured 4 inches 3
`(1)/(4)` inches

Area of each tile: 4 x 3
`(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
`(1)/(2)` sq inch + 78 sq inch= 109.5 sq inch