Mr Ramanand purchased a plot QRUT to build his house. He leave space of two congruent semicircles for gardening and a rectangular area of breadth 3 cm for car parking. -27 cm -- 27 cm 127 cm 27 cm Find the area of the shaded region.
Answers
Area of shaded region = 666.835 cm²
Given:
Mr Ramanand purchased a plot QRUT to build his house
He leave space of two congruent semicircles for gardening and a rectangular area of breadth 3 cm for car parking
To find:
The area of the shaded region [ in given figure ]
Solution:
Given Mr Ramanand purchased a plot QRUT to build his house
[ For more understanding observe the given picture ]
From given figure,
QRUT is rectangular
and Length of plot, TQ = 3 cm + 27 cm = 30 cm
Breadth of plot, TU = 27 cm
Area of plot = Length × Breadth = 30 × 27 = 810 cm²
Area of plot = 810 cm²
Given two semicircles are congruent
Then radius and area of two semicircles will be equal
From given figure,
Diameter of semicircle, 2r = 27/2 = 13.5 [ half of breadth of rectangle ]
⇒ Radius of semicircles = 13.5/2 = 6.75 cm
⇒ Area of 2 semi circles = 2 × 1/2 (π r²)
= π r² = (22/7)(6.75)(6.75) = 143.195 cm²
Area of 2 semi circles = 143.165 cm²
Area of shaded region = Area of rectangular plot - Area of 2 semi circles
= 810 cm² - 143.165 cm² = 666.835 cm²
Therefore,
Area of shaded region = 666.835 cm²
#SPJ1
Answer:
hey the answer is....
Step-by-step explanation:
1. find the total area of the garden?
》》length,l= 30 cm
breadth,b= 27cm
therefore area of rectangle= length × breadth
30×27
=810 cm. henceproved
