Answer:
Length = 6 inches, Width = 10 inches
Step-by-step explanation:
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Note :
L = Length
W = Width
The perimeter of a rectangle = 2( L + W)
The area of a rectangle = LW.
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.
32 = 2( L + W)
Divide both sides by 2
16 = L + W.... Equation 1
L = 16 - W
Also:
LW = 60....... Equation 2
Let us substitute 16 - W for L in Equation 2
(16 - W)W = 60
16W - W² = 60
W² - 16W + 60 = 0
W² - 6W - 10W + 60 = 0
W(W - 6) - 10(W - 6) = 0
W - 6 = 0, W = 6 inches
W - 10 = 0, W = 10 inches
Solving for L
W = 10
L = 16 - 10
L = 6 inches
Therefore, the dimensions of the shingle =
Length = 6 inches, Width = 10 inches
Answer:
Step-by-step explanation:
so why this kind of problem is so confusing is b/c it's 2 problems in one
if you were to expand this it look like this
10 ≤2x
and
2x ≤x+9
This is really saying.. that x has a range.. and that the 1st equations is the lower stop point, and that the 2nd equations is the upper stop point
once it's taken apart.. I bet you can solve it pretty quickly.
5≤x
and
x ≤9
then just put it back together in that confusing .. yet handy way to write it,
5≤x≤9
9514 1404 393
Answer:
3.6
Step-by-step explanation:
There are 144 in² in 1 ft².
(518 in²) × (1 ft²)/(144 in²) ≈ 3.597222... ft² ≈ 3.6 ft²
Surface area is 62 units ^2
5 x 2 = 10 since there are 2 of these side double it (20)
3 x 2 = 6 since there are 2 of these side double it (12)
3 x 5 = 15 since there are 2 of these side double it (30)
20 + 30 + 12 = 62
