Answer:
40 cm² = B
178,127514 ≈ LA
218,127514 ≈ SA
Step-by-step 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]:[tex] \frac{1}{3}(40) = 13 \frac{1}{3} [/tex]
This is your height.
Now, to find the lateral area, we use this formula:
[tex]l \sqrt{(\frac{w}{2})^{2} + {h}^{2}} + w \sqrt{( \frac{l}{2})^{2} + {h}^{2}} = L. A.[/tex]
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:
[tex]40 + 178,127514 = 218,127514[/tex]
I am joyous to assist you anytime.
