Question

From a 20 cm × 16 cm piece of wood, a block in the shape of the letter m shape is made.find the area of the wood left over.



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Answer 1

Here is your solution

Given :-

Length =20cm
breadth =16cm

Area of rectangle=l×b= 20×16=320cm^2

find the area of the wood left over. =?

=>Area of rectangle - area of equilateral triangle (akl)

$320 - \frac{ \sqrt{3} }{4} \times a {}^{2} \\ 320 - \frac{ \sqrt{3} }{4} \times 6 {}^{2} \\ 320 - \frac{ \sqrt{3} }{4} \times 36 \\ 320 - 9 \sqrt{3} \\ 320 - 15.58 \\ 304.42\\ \\ now \\ Area \: of \: edgf= \: l×b=10×6 \\ =60cm^2 \\ \\ area \: of \: m \: = 304.42- 60 + area \: of \: triangle \: gef \\ area \: of \: m = 304.42 - 60 + 15.58 \\area \: of \: m = 260$

Hope it helps you

Answer 2

Answer:

60 square cm

Step-by-step explanation:

Total area of the figure = 20 × 16

320 square cm

Area of first part= 20 × 5 = 100

Area of second part = 10 × 6 = 60

Area of third part = 20 × 5 = 100

Total area = 260 square cm

Area of wood left over = 320 - 260

60 square cm