18th the reneure a rectangular plot of land measures 8 mb
quadrant of a chce of radium Also there is a lower bed
the form of a circle of radnism in the middle of the plod
the area of the remaining plot
EXERCISE 200
OBJECTIVE QUESTIONS
Mark) against the correct answer is een or the one
2. The length of a rectangle is 16 em and the length of dalis 20m. The wear the
rectangle is
180 cm 150 cm
2. Each diagonal of a square is 12 cm long lisarais
el 38 cm
dhe
Answers
Step-by-step explanation:
1.Area of the Rectangular plot = L*B
⇒ 8*6
= 48 m²
Area of 4 quadrants of a circle = 4*1/4*πr²
⇒ 4*1/4*22/7*2*2
⇒ 88/7
⇒ 12.57 m²
Area of circular flower bed in the middle of the rectangular plot = πr²
⇒ 22/7*2*2
⇒ 88/7
= 12.57 m²
Area of the remaining plot = 48 - (12.57 + 12.57)
48 - 25.14
22.86 m²
2.The Length, breadth and Diagonal of a rectangle form a right-angled triangle with the length and breadth as the perpendicular sides and the diagonal as the hypotenuse.
∴ diagonal² = length² + breadth² (by the Pythagorean theorem)
∴ 20² = 16² + b²
⇒ 20² - 16² = b²
⇒144 = b²
∴ b = √144 cm = 12 cm
Area of rectangle = length × breadth
= (16 × 12)cm²
= 192 cm²
3.Let the side of the square =a cm.
The diagonal of a square divides it into two equal right angled triangles.
Hence, diagonal forms the hypotenuse of a right angled triangle, with the other
two sides being the sides of the square.
Hence, diagonal =
a
2
+a
2
=12cm=>2a
2
=144=>a
2
=72=>a=6
2
Area of the square =a
2
=(6
2
)
2
=72 sq cm