Answer:
456 
Step-by-step explanation:
Find the height of the trapezoid first (QR):
= 12
QR = 12
Area:
× h =
× 12
= 456 
Subtract 75 from 90 then divide it by 5
A number without denominator such is equal to number with denominator 1.
So, 24 is equal to 24/1
5/8 x 24
= 5/8 x 24/1
= (5x24) / (8x1)
= 120/8
= 15
Answer:
2l + 2w = 96 ..... eqn1
lw = 504 ...... eqn2
Step-by-step explanation:
To model this case where we have two unknowns l and w, we need two equations.
Firstly, the perimeter of a rectangle is given by
2l + 2w = p
Where l,w and p are length, width and perimeter of the rectangle respectively.
Hence,
2l + 2w = 96 ... eqn1
Secondly, the area of a rectangle is given by
Length × width = Area
Hence,
l × w = 504
lw = 504 ... eqn2
With these two equations the solutions to the length and width of the rectangular pool can be derived.
Answer:
x = 3
Step-by-step explanation:
First, simplify by subtracting 2x from 6x:
6x - 2x + 8 = 20
4x + 8 = 20
Then, solve for x:
4x + 8 = 20
4x = 12
x = 3
So, the answer is x = 3