The answer to your question is -2.
Answer:
16 ft by 22 ft
Step-by-step explanation:
The Area of the carpeting she must have = 352 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
352ft² = Length × Width
352ft² = (20 - x) (26 - x)
352 = 520 - 20x - 26x + x²
352 = 520 - 46x + x²
Collect like terms
x² - 46x + 520 - 352
x² - 46x + 168
We factorise
x² - 4x - 42x + 106
(x² - 4x) -(42x + 106)
x(x - 4) -42(x - 4)
(x - 4)(x - 42)
x - 4 = 0, x = 4
x - 42 = 0, x = 42
We choose the least value for x
Hence, x = 4
Length = 20 - 4 = 16ft
Width = 22- 4= 22ft
The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long
3.14 x 9^2 x 14/3 = 1186.92
4/3 x 3.14 x 9^3 = 1526.04
1186.92 + 1526.04 = 2712.96 = 2713 cubic inches
Answer:
12x26
Step-by-step explanation:
Area of a room A = 18*32 = 576 sq ft
She can leave 6 ft around the rug, so
312 sq ft = 12 * 26
Answer:
116.67 m
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.
From the image attached:
∠A = ∠C = 90° (right angled triangle).
∠ABE = ∠CBD (vertically opposite angles are equal to each other)
The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:
Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:
BC / AB = CD / AE
BC = 140 m, AB = 30 m, AE = 25 m
substituting:
140 / 30 = CD / 25
CD = (140 / 30) * 25
CD = 116.67 m
The width of the canal = CD = 116.67 m