Question

from a 20m x 16cm piece of wood a block in the shape of letter M is made find the area of wood left over​

Answer 1

Answer:

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)

\begin{gathered}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 \\ < br / > < br / > Area \: of \: edgf= \: l×b=10×6 \\ =60cm^2 < br / > \\ \\ area \: of \: m \: = 304.42- 60 + area \: of \: triangle \: gef \\ area \: of \: m = 304.42 - 60 + 15.58 \\area \: of \: m = 260\end{gathered}

320−

4

3

×a

2

320−

4

3

×6

2

320−

4

3

×36

320−9

3

320−15.58

304.42

now

<br/><br/>Areaofedgf=l×b=10×6

=60cm

2

<br/>

areaofm=304.42−60+areaoftrianglegef

areaofm=304.42−60+15.58

areaofm=260