Question

One pound of grout is enough to grout a tiled area that is 110 sq. Ft. Alyssa's kitchen counter is made up of two rectangular segments. One is 10.3 ft by 2.5 ft, and the other is 3.1 ft by 2 ft. Which expression represents the number of pounds of grout Alyssa will need? (Hint: Area 1st Rectangle = (10.3)(2.5); Area 2nd Rectangle = (3.1)(2); Total Area = Area 1st + 2nd) 10.3(2.5) + (3.1(2) ÷ 110) 10.3(2.5) + 3.1(2) ÷ 110 (10.3 (2.5) + 3.1 (2)) ÷ 110 3.1(2) + (10.3)(2.5) ÷ 110

Answer 1

Answer:

$(10.3(2.5)+3.1(2))\div 110$

Step-by-step explanation:

$A_1$ = Area of 1st rectangle = $(10.3\times 2.5)\ \text{ft}^2$

$A_2$ = Area of 2nd rectangle = $(3.1\times 2)\ \text{ft}^2$

$1\ \text{pound of grout}=110\ \text{ft}^2$

$\Rightarrow 1\ \text{ft}^2=\dfrac{1}{110}\ \text{pound of grout}$

The number of pounds required for the counter top is

$\text{Total area}\times \text{The amount of grout used in 1 ft}^2$

$=A_1+A_2\times \dfrac{1}{110}=(10.3(2.5)+3.1(2))\times \dfrac{1}{110}\\ =(10.3(2.5)+3.1(2))\div 110$

The required expression is $(10.3(2.5)+3.1(2))\div 110$.

Answer 2

Answer:

The answer is C

Step-by-step explanation:

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