Answer:
4,257 m²
Step-by-step explanation:
step 1
Find the lateral area of the rectangular prism (ottoman)
The lateral area is
LA=PH
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
P=2(37+21)=116 cm
we have H=30 cm
<em>Find the lateral area</em>
LA=116(30)=3,480 m²
step 2
Find the area of the top of the ottoman
B=37*21=777 m²
step 3
we know that
The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top
3,480+777=4,257 m²
Answer:
Step-by-step explanation:
Answer:
6 if I am correct I hope this helps
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
the answer is e. i hope this helps :)))