Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
It is 12 - 2/3 = 18, then solve :)
hope that helps :D
Answer:
AH
Step-by-step explanation:
From the figure we can see a cube ABCDEFGH.
In a cube thee are 4 interior diagonals
To find the diagonal of the cube
AH, BG, CF and DE
There are 4 interior diagonals.
The given options contain only one interior diagonal.
Therefore the correct answer is first option. AH
Remember, (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
so
walls per gallon
4/5 wall per 5/8 gallon
(4/5)/(5/8)
(4/5)(8/5)
32/25
1.28
the unit rate is 1.28 walls per gallon
