Find the area of the composite shape below. a 66.8 b 91.92 c 101.12 d 101.6

Mathematics

2 answers:

Savatey [412]2 years ago

7 0

Area of figure= area of triangle+ area of rectangle
= 1/2*4.4*7.8+2.8*11.4
= 17.16+31.92
= 49.08 square units

Evgesh-ka [11]2 years ago

3 0

Answer:

66.24 (This answer does not match to any of the options...)

Step-by-step explanation:

This shape can be divided into 2 different shapes. A triangle and a rectangle.

Area of a Triangle = $\frac{1}{2}$ × base × height

= $\frac{1}{2}$ × 8.8 × 7.8

= 34.32

Area of a Rectangle = Length × Width

= (19.2 - 7.8) × (8.8 - (3+3))

= 11.4 × 2.8

= 31.92

Total area = 34.32 + 31.92 = 66.24

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How many gallons of a 30% salt solution must be added to 40 gallons of a 12% salt solution to obtain a 20% solution?

Sati [7]

Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is

40(12%) + x(30%) = (40 + x)(20%)

With the percents as decimals:

40(0.12) + x(0.3) = (40 + x)(0.2)

Simplifying, we have:

4.8 + 0.3x = 8 + 0.2x

Collecting the x terms on one side and the constants on the other:

0.1x = 3.2

And multiplying both sides by 10 to find x:

x = 32

So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.

7 0

3 years ago

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omeli [17]

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