A circle with radius of \green{2}2 start color green, 2, end color green sits inside a \blue{7 \times 11}7×11 start color blue,
7, times, 11, end color blue rectangle. what is the area of the shaded region
2 answers:
A circle with radius 2 sits inside a 7×11 rectangle. What is the area of the shaded region?
We draw the problem in the picture attached. The picture is not drawn to scale!
In order to find the shaded area, you need to subtract the area of the circle from the area of the rectangle.
Therefore:
A(rectangle) = b·h = 11×7
= 77 u²
A(circle) = π·r² = 3.14 · 2²
= 3.14 · 4
= 12.56 u²
A(shaded) = A(rectangle) - <span>A(circle)
= 77 - 12.56
= 64.44 u²
Hence, the shaded figure has an area of 64.44 square units.
</span>
We draw the problem in the picture attached. The picture is not drawn to scale!
In order to find the shaded area, you need to subtract the area of the circle from the area of the rectangle.
Therefore:
A(rectangle) = b·h = 11×7
= 77 u²
A(circle) = π·r² = 3.14 · 2²
= 3.14 · 4
= 12.56 u²
A(shaded) = A(rectangle) - <span>A(circle)
= 77 - 12.56
= 64.44 u²
Hence, the shaded figure has an area of 64.44 square units.
</span>
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Answer:
Mrs. B's age = y = 38 years
her son's age = x = 8 years
Step-by-step explanation:
To Find:
Mrs. B's age = y =?
her son's age = x = ?
Solution:
Let Mrs. B's age be 'y' years
and her son's age be 'x' years
Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)
According to the first given condition,
y = 6 + 4x ...............Equation ( 1 )
According to the second given condition,
(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )
equating equation 1 in equation 2 we get
6 + 4x -3 = 7x - 21
7x - 4x = 21 + 3
∴
Now substitute x in equation 1 we get
y = 6 + 4×8
y = 6 + 32
∴ y = 38 years
Mrs. B's age = y = 38 years
her son's age = x = 8 years