Answer:
40 cm² = B
178,127514 ≈ LA
218,127514 ≈ SA
Explanation:
First and foremost, since we were not given a height, to find the height, take one-third of the area base [area base in this case is ws, since it is a rectangular base]:
![(1)/(3)(40) = 13 (1)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8j17m3ea4ocklpzm5lo70edu75v7mtyfbk.png)
This is your height.
Now, to find the lateral area, we use this formula:
![l \sqrt{((w)/(2))^(2) + {h}^(2)} + w \sqrt{( (l)/(2))^(2) + {h}^(2)} = L. A.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1k9shgio9lydp47fjddrz3vn1vs5akydm9.png)
Plugging these numbers into this formula will give you an approximate value of 178,127514.
Then you add the lateral area to the base area to get your surface area:
![40 + 178,127514 = 218,127514](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l4uii5mfk0424wi5b9qbq5dwjompt78xu9.png)
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