Answer:
Step-by-step explanation:
perimeter = l + b + l + b or 2(l + b)
92 = 19 + 19 + 2b
92 = 38 + 2b
2b = 92 - 38
2b = 54
b = 54 / 2
b = 27
breadth or width of the triangle = 27
length = 19
Answer:
Volume of room will be left after Michael stores the boxes 426 feet cube
Step-by-step explanation:
It is given that
Michael is putting 12 boxes in a storage shed.
Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.
If the storage shed has dimensions 6 feet by 10 feet by 8 feet,
<u>To find the volume of one box
</u>
Volume = 1.5 x 1.5 x 2= 4.5 feet cube
Volume of 12 such box = 4.5 x 12 =54 feet cube
<u>To find the volume of shed
</u>
Volume of Shed = 6 x 10 x 8 =480
<u>
To find remaining portion of shed</u>
Volume of room will be left after Michael stores the boxes =volume of shed - volume of box
=480 - 54 = 426 feet cube
Answer:
0
Step-by-step explanation:
subtracting like terms
Width =3.5, length = 4
Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl
Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w
0 = 2w^2 - 3w - 14
which factors into
(2w - 7) (w + 2)
Solving for w
2w - 7 = 0
2w = 7
w = 3.5
w+2 = 0
w = -2
So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5
Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14
So the width is 3.5 and the length is 4.
Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x.
Therefore:
1. 118 + 90 + 99 = 307
360 - 307 = 53
2. 110 + 96 + 78 = 284
360 - 284 = 76
3. 48 + 118 + 97 = 263
360 - 263 = 97
4. 105 + 99 + 64 = 268
360 - 268 = 92
5. 103 + 63 + 113 = 279
360 - 279 = 81
6. 95 + 80 + 88 = 263
360 - 263 = 97