Question

if h = 10 CM, c = 6 CM, b = 12 CM, d = 4 CM, find the values of each of its part separately and add to find the area WXYZ. verify it by putting the values of h,a and b in the expression h( a+ b)/2 ​

Answer 1

Answer:

Step-by-step explanation:

Area of trapezium WXYZ = Area of traingle with base'c'+area of rectangle +area of triangle with base 'd'

                                         =\left ( \frac{1}{2}\times c\times h \right )+\left ( b\times h \right )+\left ( \frac{1}{2}\times d\times h \right )

                                        =\left ( \frac{1}{2}\times 6\times 10 \right )+\left ( 12\times 10 \right )+\left ( \frac{1}{2}\times 4\times 10 \right )

                                       =\left ( 30 \right )+\left ( 120 \right )+\left ( 20 \right )

                                      =170 cm^{2}

the area WXYZ by  the expression  

.\frac{h(a+b)}{2}

=\frac{10 \left ( 22+12 \right )}{2}

=\frac{10 \left ( 34 \right )}{2}

=10\times 17

=170 cm^{2}

Hence ,we can conclude area from given expression and calculated area is equal.