The first would be 80 and the second is 8
Step-by-step explanation:
the total surface area is the sum of the 5 individual areas in the surface :
2 triangle sides (left and right).
1 back rectangle side
1 rectangle floor
1 inclined rectangle front side
to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90° angle).
c² = 3² + 4² = 9 + 16 = 25
c = 5
so, now, we have everything we need.
the area of a triangle side (since it is right-angled) :
4×3/2 = 6
2 sides, that makes 12
the area of the back side
6×3 = 18
the area of the floor
6×4 = 24
the area of the inclined front side
6×5 = 30
so, the total surface area is
12+18+24+30 = 84
Answer:
L = 12
W = 8
Step-by-step explanation:
Area = L*W
L = W + 4
W = W
Area = 96
W ( W + 4) = 96
w^2 + 4W = 96
w^2 + 4w - 96 = 0
(w - 8)(w + 12) = 0
Only w - 8 = 0 will work
w - 8 = 0 Add 8 to both sides
w = 8
w + 12 = 0 will not work because you have to subtract 12 from both sides to get the value for w.
w = - 12 which has no meaning for garden plots.
So the width = 8 and the length = w + 4 = 8 + 4 = 12
Is this a right triangle or triangle is solving for?
Angle AOC = 46° Find angle BPO
We have congruent right triangles PAO and PBO, right angles A and B.
So AOC=BOC=46 degrees,
PBO is a right angle so BPO is complementary to BOC, so 42 degrees
Answer: 42 degrees
