Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
I would try -50 i really dont get what your asking but i did -10 -40=50
Answer:
$73,564,723.80
Step-by-step explanation:
"x is the number of years after the expansion in 2005"
This year is 2021.
2021 - 2005 = 16
x = 16
Answer: $73,564,723.80
Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.
So, k2. When you add Kim's age to her sister age you get 36.
Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.
k2 + k = 36 < Given
3k = 36 < Combine like terms
k = 12 < Divide both sides by 3
We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24
Kim's sister is 12 y/o and Kim is 24 y/o
Please give Brainliest!
Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
- L is the length of the rectangle
- W is the width of the rectangle
∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet
