Answer:
C = a² + 2ab + b²
Step-by-step explanation:
From the diagram above,
Let the dimension of the square be
A (length) = (a + b) and B (breadth) = (a + b).
Area of the square is A*B
A * B = (a + b) * (a + b)
Area = a² + ab + ab + b²
Area = a² + 2ab + b².
Therefore the expression that defines the area of the square is a² + 2ab + b².
Answer:
Let l be the length and w the width of the rectangle.
P as the perimeter and A as the area.
length of a rectangle is four times the width:
w = w
l = 4w
System of equation : 2l + 2w = P
Substitute:
2(4w) + 2w = 45
8w + 2w
10w = 45
w = 45 / 10
w = 4.5
Solve for l:
l = 4w
l = 4(4.5)
l = 18
Area:
A = lw
A = 18(4.5)
A = 81 in²
Pretty simple: The answer is D
Answer:
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