Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
Hope this helps!! :)
Please let me know if you have any questions
Answer:
UX ≈ 4.5
△UVW = 49.5 ft²
Step-by-step explanation:
[] We can assume that UX is the midline of this triangle.
22 ft / 2 = 11 ft
XW and VX = 11 ft
[] Now that we have 2 sides of a right traingle, we can find the third.
a² + 11² = 12²
a² + 121 = 144
a² = 20
a = about 4.5, which is side UX
[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2
22 * 4.5 = 99
99 / 2 = 49.5 ft²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
The answer is z = y over cos 50 degrees
