Answer:
a. h = A/w = 2 ³/₄ ft
b. A'/A = 2/3
Step-by-step explanation:
a. What is the total height of the wall? Write an equation to represent the situation. Then solve.
The wall is a rectangle and its area is A = wh where w = width and h = height of wall.
Making h subject of the formula,
h = A/w
Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then
h = A/w
= 23 ³/₈ ft² ÷ 8 ¹/₂ ft
= 187/8 ft² ÷ 17/2 ft
= 187/8 ft² × 2/17 ft
= 187/4 ft² × 1/17 ft
= 187/68 ft
= 2 ³/₄ ft
b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.
Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft² and the total are of the retaining wall is A = 23 ³/₈ ft²
The fraction of the wall that is brick = A'/A
= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²
= 187/12 ÷ 187/8
= 187/12 × 8/187
= 8/12
= 2/3
Answer with Step-by-step explanation:
a) 2 3/4 ÷ 3 = 11/12 feet
11/12 + 11/12 = 1 5/6
Or, you could write an algebraic equation:
2 3/4 ÷ 3 = x. (3x = 2 3/4)
x = 11/12
The height of the brick proportion of the wall is 1 5/6
b)
You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.
So, your rounded answer should be 16. Or 16 1/2
c)
Area = 8 1/2 x 2 3/4.
Use Distributive Property to solve the area.
(8 x 2) + (3/4 x 1/2) = x
8 x 2 = 16
3/4 x 1/2 = 3/8
16 + 3/8 = 16 3/8
x = 16 3/8
I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.
-kiniwih426
