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balandron [24]
3 years ago
7

The length of a garden is 125% of its width. If the width of the garden is 8 meters, what is the area of the garden?

Mathematics
1 answer:
katrin [286]3 years ago
4 0
To find 125% of 8, it is easiest to first find 25% of 8 then multiply it by 5 since 125% is 5 times 25%. 
To find 25% of 8, divide it by 4. 
8 / 4 = 2 
Multiply 2 by 5. 
2 x 5 = 10 
That means that the length of the garden is 10. 
To find the area of the garden, multiply the length by the width. 
10 x 8 = 80 
The area of the garden is 80 m². 
Hope this helps!
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Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
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The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
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d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
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LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
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