Answer:
3:
4:
Step-by-step explanation:
Question 3 can be re-written as:
which equals:
Question 4 can be re-written as:
Doing the first 2 brackets gives us:
Expanding these two:
Simplifying it:
Answer:
l = 14
Step-by-step explanation:
The perimeter of a rectangle is
P =2(l+w)
The width is x-6
w = x-6
The length is 8 units longer than the width
l = w+8
l = x-6+8
l = x+2
We can substitute this into the equation for Perimeter, which is given as 40
40 = 2(x+2 + x-6)
Combine like terms
40 =2 (2x-4)
Divide by 2
40/2 = 2/2 (2x-4)
20 = 2x-4
Add 4 to each side
20+4 =2x-4+4
24 = 2x
Divide by 2
24/2 =2x/2
12=x
We want to know the length
l = x+2
l =12+2
l = 14
Answer:
Mr. Drew needs 167.3 ft of wood
Step-by-step explanation:
we know that
The area of a square is
where
b is the length side of the square
we have
substitute in the formula and solve for b
square root both sides
To determine the total length of wood , calculate the perimeter of the sandbox
The perimeter of the sandbox is equal to the perimeter of 5 squares
so
substitute the value of b
therefore
Mr. Drew needs 167.3 ft of wood
Answer:
No for whole number dimensions
Step-by-step explanation:
The area of a rectangle is found using the formula A = l*w. This means for an area of 24 square units the dimensions must be two factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Using each pair of factors, find if any would have a perimeter of 24 too.
1 and 24 has perimeter 50
2 and 12 has perimeter 28
3 and 8 has perimeter 22
4 and 6 has perimeter 20
It is not possible to draw a rectangle with whole number dimensions which will have area and perimeter 24.