Advertisements
Advertisements
Question
In the following figure, find the area of the shaded portions
Advertisements
Solution
ar (QTU) = ar (PQRS) − ar (TSU) − ar (RUQ) − ar (PQT)
= (20 × 20) − `1/2` (10 × 10) − `1/2` (20 × 10) − `1/2` (20 × 10)
= 400 − 50 − 100 − 100 = 150 cm2
RELATED QUESTIONS
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π= 3.14)
Find the area of the quadrilateral ABCD.
Here, AC = 22 cm, BM = 3 cm,
DN = 3 cm, and
BM⊥AC, DN⊥AC
A path 5 m wide runs along inside a square park of side 100 m. Find the area of the path. Also, find the cost of cementing it at the rate of Rs. 250 per 10 m2.
Two crossroads, each of width 5 m, run at right angles through the center of a rectangular park of length 70 m and breadth 45 m and parallel to its sides. Find the area of the roads. Also, find the cost of constructing the roads at a rate of Rs. 105 per m2.
A floor is 5 m long and 4 m wide. A square carpet with sides of 3 m is laid on the floor. What is the area of the floor that is not carpeted?
If the area of a rectangle is 45 cm² and its breadth is 10 cm, what is the length of the rectangle?
The perimeter of a square field is 112 m. What is the area of the square field?
The cost of flooring a room at ₹68 per square meter is ₹2040. If the length of the room is 7.5 m, what is the breadth?
