9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x=180-8
8x=172
8x/8=172/8
x=21.5
Answer:
The original fraction is 13/27
Step-by-step explanation:
Let the fraction be x/y. This means that the numerator is x and the denominator is y.
One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that
1/5 (x+y) = 8
Cross multiplying with 5,
x+y = 5×8 = 40 - - - - - - - -1
If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that
(22-x)/y = 1/3
Cross multiplying with y and 3,
3(22-x) = y×1
66-3x = y - - - - - -2
Substituting y = 66-3x into equation 1, it becomes
x + 66 - 3x = 40
x -3x = 40-66
-2x = -26
x = 26/2 = 13
y = 40 - x = 40 - 13
= 27
The original fraction is 13/27
