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Travka [436]
3 years ago
11

What is the area of the figure?

Mathematics
1 answer:
krok68 [10]3 years ago
6 0
The answer is 112 in^2




area of the square :
10 {}^{2}  = 100


area of the triangle :
(4 \times 6) \div 2 = 24 \div 2 = 12


area of the whole shape :
100 + 12 = 112




good luck
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Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take
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<h2>Hello!</h2>

The answer is:

The correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

<h2>Why?</h2>

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

JeffRate=2JuliaRate

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

JeffRate+JuliaRate=\frac{1garden}{3hours}

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

JeffRate+JuliaRate=\frac{1garden}{3hours}

2JuliaRate+JuliaRate=\frac{1garden}{3hours}

2JuliaRate+JuliaRate=\frac{1garden}{3hours}

3JuliaRate=\frac{1garden}{3hours}

JuliaRate=\frac{1garden}{3hours*3}=\frac{1garden}{9hours}

We have that Julia could weed the garden by herself in 9 hours.

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We have that Jeff could weed the same garden by himself in 4.5 hours.

Hence, the correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

Have a nice day!

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