Answer:
Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!
Ans: 1) 47.5
2) 3.4
Step-by-step explanation:
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!
Answer:
Step-by-step explanation:
The first cat eats 1/15 of a bag per minute.
The second cat eats 1/10 of a bag per minute.
Together, they eat 1/15 + 1/10 = 1/6 of a bag in one minute.
Answer: Choice C) 124 square cm
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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
A = 1.5*7/2
A = 10.5/2
A = 5.25
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.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
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
LSA = p*d
LSA = 11.35*10
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
