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

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 = 10 sq inch.

Area of three tiles : 3 x 10 = 31 sq inch

->If six tiles measured 4 inches 3 inches

Area of each tile: 4 x  3  = 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 sq inch + 78 sq inch= 109.5 sq inch

take it another

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2