Hey guys! So, I really need help on this question.
So, the image is a picture of a trapezoid with the top measuring 5.9m and the height measuring 4.6m and the base measuring 16.3m the answer choices are......
A. 51.06m^2
B. 74.98m^2
C. 27.14m^2
D. 102.12m^2
So what I did first was multiply the b x h (4.6 x 16.3) and I got the answer of 74.98 but when I submitted my answer it said it was wrong so then I tried to do bxh/2 (4.6 x 16.3 divided by 2) and got the answer of 37.49 which wasn't an answer choice.
So then I decided to do the top x the base (5.9 x 16.3) which I got 96.17 which also wasn't an answer choice.
If you can plz give me the answer but explain it to me.
Thank you. :)
I forgot to add that I also did 5.9 x 4.6 which I got the answer of 27.14 but when I submitted it, it said I got it wrong.
(Also, I got all the other questions right, I'm just confused on this one.)
clearly they want the area, which is
A = (b1+b2)/2 * h = (5.9+16.3)/2 * 4.6 = 51.06
Thank you so much!
That was really confusing for some reason.
I still can't believe I missed that.
I'm so dumb.
Haha.................
*Dumb
To find the area of a trapezoid, you can use the formula:
Area = (b1 + b2) * h / 2
where b1 and b2 are the lengths of the parallel bases, and h is the height or the perpendicular distance between the bases.
In this case, the top base is given as 5.9m, the bottom base is 16.3m, and the height is 4.6m.
It seems that you tried to find the area by multiplying the top base by the height, which resulted in 74.98m^2, but that was not one of the provided answer choices.
Next, you tried to find the area by using the formula for the area of a triangle (1/2 * base * height), which gave you 37.49m^2, which also was not an answer choice.
Lastly, you multiplied the top base by the bottom base (5.9m * 16.3m), which gave you 96.17m^2, but this was also not an answer choice.
To correct your calculation and find the correct answer, you need to use the formula for the area of a trapezoid.
Area = (b1 + b2) * h / 2
Plugging in the values:
Area = (5.9m + 16.3m) * 4.6m / 2
Area = 22.2m * 4.6m / 2
Area = 101.92m^2 / 2
Area = 50.96m^2
Therefore, the correct answer is A. 51.06m^2.