Work out the shaded area.
Problem 1 :
Solution :
Shaded area = Area of large rectangle – area of small rectangle
= (9 × 5) – (4 × 3)
= 45 – 12
= 33 cm^{2}
So, shaded area is 33 cm^{2}.
Problem 2 :
Solution :
Shaded area
= Area of large rectangle - area of small rectangle
length of large rectangle = 10 cm, width = 12 cm
length of small rectangle = 10 - 2.5 - 2.5 ==> 5 cm
Width of the small rectangle = 12 - 1 - 1 ==> 10 cm
= (10 x 12) - (5 x 10)
= 120 - 50
= 70 cm^{2}
Problem 3 :
Solution :
Shaded area
= Area of square – Area of large rectangle - Area of small rectangle
= (15)^{2} – (8 × 3) – (2 × 3)
= 225 – 24 – 6
= 195 cm^{2}
So, shaded area is 195 cm^{2}.
Shown is a triangular brick wall with a rectangular window. Find the area of the wall that is brick.
Problem 4 :
Solution :
Area of the wall = area of a triangle – area of rectangle
= (1/2) (b × h) - (l × w)
= (1/2) (6 × 7) – (1.5 × 2)
= 1/2 (42) – 3
= 21 – 3
= 18 m^{2}
So, area of the wall is 18 m^{2}.
Find the area of the garden that is grass.
Problem 5 :
Solution :
The area of the garden = area of square - area of triangle
= a^{2} – 1/2 (b × h)
= 6^{2} – 1/2 (4 × 3)
= 36 – 1/2 (12)
= 36 – 6
= 30 m^{2}
So, area of the garden is 30 m^{2}.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM