Step-by-step explanation:
Let the breadth (b) of a rectangle be x
Then Length (L) = 2x
Now
Perimeter of the rectangle = 15 inches
Or, 2(L + b) = 15
2 ( 2x + x) = 15
2* 3x = 15
6x = 15
x = 15 / 6
x = 2.5 inch
Also Now
Length (L) = 2*2.5 = 5 inches
Breadth (b) = 2.5 inches
Hope it will help :)
Answer:
Step-by-step explanation:
5) -7 (-15w + 21) + 3(18 - 27w)
Step 2: 105w - 81w - 147 + 54
6)
step 3: 24w - 93
Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
