Question

Find the area of shaded portion of each of the following figures. (measuring in cm
(b)
​

Answer 1

Answer:

255cm²

Step-by-step explanation:

Area of shaded region = Sum of areas of triangles and rectangle

Area = 15*6/2 + 15*6/2 + 15*11

= 90 + 165

= 255cm²

Answer 2

Answer:

The required area of the shaded portion is 255 cm²

Step-by-step explanation:

$\setlength{\unitlength}{1.2 cm}\begin{picture}(0,0)\thicklines \qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.2,-0.3){\sf A}\put(5,-0.3){ \sf B }\put(4,3.1){ \sf C }\put(0.9,3.1){ \sf D }\put(1,0){\line(0,1){3}}\put(4,0){\line(0,1){3}}\put(1,-0.3){\sf E}\put(4,-0.3){\sf F}\put(4.2,-0.5){\sf 6 cm}\put(2.2,-0.5){\sf 11 cm}\put(0.3,-0.5){\sf 6 cm}\put(1.1,1.3){\sf 15 cm}\put(3.,1.3){\sf 15 cm}\end{picture}$

Area of ΔADE :

• Area = ¹/₂ × base × height

base = 6 cm

height = 15 cm

Substitute,

Area = ¹/₂ × 6 cm × 15 cm

Area = 3 cm × 15 cm

Area = 45 cm²

Area of ΔBCF :

• Area = ¹/₂ × base × height

base = 6 cm

height = 15 cm

Substitute,

Area = ¹/₂ × 6 cm × 15 cm

Area = 3 cm × 15 cm

Area = 45 cm²

Area of rectangle CDEF :

• Area = length × breadth

length = 15 cm

breadth = 11 cm

Substitute,

Area = 15 cm × 11 cm

Area = 165 cm²

Area of the shaded portion :

= Area of ΔADE + Area of rectangle CDEF + Area of ΔBCF

= 45 cm² + 45 cm² + 165 cm²

= 90 cm² + 165 cm²

= 255 cm²