Question

find the area of shaded region​

Answer 1

Step-by-step explanation:

shaded region= area of rectangle - area of 2 triangle

= l×b - [(Base×height÷2)+(2nd Base×2ndheight÷2)]

=13×8- [1/2(24+10)]

= 104-17

= 87 cm²

so area of shaded region is 87cm²

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Answer 2

ANSWER = 87 cm²

CONSIDER THE TOTAL FIGURE,

IT IS A RECTANGLE

$\sf\boxed{\pink{ \: Area \: of \: rectangle = L × B }}$

$\sf{•Length = 8 cm}$

$\sf{•breadth = 13 cm}$

$\sf{•Area = 8 × 13}$

$\sf{•Area = 104 cm²}$

NOW CONSIDER THE TWO TRIANGLES ,

$\sf\boxed{\pink{ Area \: of \: Triangle = \frac{1}{2} (B×H) }}$

$\sf{•Total \: area \: of \: triangles= (\: \frac{1}{2} \times 3 \times 8 )+ ( \frac{1}{2} \times 5 \times 2) }$

$\sf{•Total \: area \: of \: triangles= \: 12 + 5}$

$\sf{•Total \: area \: of \: triangles= 17 \: {cm}^{2}}$

NOW AREA OF SHADED REGION

AREA = TOTAL AREA - AREA OF TRIANGLES

= 104 - 17

= 87 cm²