Answer:
l = 7 in; w = 3 in
Step-by-step explanation:
The formula for the area of a rectangle is
A = lw
Data:
A = 21 in²
l = w + 4
Calculation:
21 = (w + 4) × w
21 = w² + 4w
w² + 4w - 21 = 0
(w + 7)(w - 3) = 0
w + 7 = 0 w - 3 = 0
w = -7 w = 3
We reject the negative value, so w = 3 in.
21 = l × 3
l = 7
The rectangle is 7 in long and 3 in wide.
Answer:
81
Step-by-step explanation:
The definition of a square is a four sided figure that has 2 sets of parallels lines, 4 congruent sides, and 4 right angles. From that you can tell that one side of the square gives the measurement of all sides of the square.
Answer:
The common ratio in the sequence is 1/3
Step-by-step explanation:
?, 12, ?, 4/3
12 * 1/9 = 4/3
The 1/9 is divided across two spaces.
1/9 = x²
x = 1/3
12 * <u>1/3</u> = 4
4 * <u>1/3</u> = 4/3
16 because 3 divided by 8 is 0.375 and 6 divided by 0.375 is 16.