9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
Answer:
<u><em>The length of AD is 32 feet</em></u>
Step-by-step explanation:
<u>Proportional distances
</u>
When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length
Let's call x the length of AD. Given C is the midpoint of AD, then
Given B is the midpoint of AC, then
If we know BC=8 feet
The length of AD is 32 feet
It is how much the x values can expand on a graph
Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²
