Answer: D) 24 = w^2 + 2w
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = length (L) x width (w)
Since:
Length = w+2
Substituting: L =w+2 in the formula:
A = (w+2) w
Replacing with the value given:
24 = (w+2)w
Applying distributive property:
24 = w^2 + 2w
Feel free to ask for more if needed or if you did not understand something.
9514 1404 393
Answer:
Step-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
There are 62 dimes and 44 nickels.
N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44
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