Question

1. Nazma's sister also has a trapezium shaped plot. Divide it into three parts as shown
(Fig 11.4). Show that the area of trapezium WXYZ =h(a+b/2)
2.If h= 10 cm, c = 6 cm, b= 12 cm,
d=4 cm, find the values of each of
its parts separately and add to find
the area WXYZ. Verify it by putting
the values of h, a and b in the express(a+b/2)


answer it fast because it's urgent​

Answer 1

see answer according to page no.

Answer 2

Answer with Step-by-step explanation:

Height of h

a-b=c+d

Area of area of two triangles +area of rectangle

Area of =$\frac{1}{2}ch+\frac{1}{2}dh+bh$

Area of rectangle =$length\times breadth$

Area of triangle=$\frac{1}{2}\times base\times height$

Area of  WXYZ=$\frac{1}{2}(c+d)h+bh=\frac{1}{2}(a-b)h+bh$

Area of  WXYZ=$\frac{a-b+2b}{2}h$

Area of WXYZ=$\frac{1}{2}(a+b)h$

Hence, proved.

h=10 cm,c=6cm,b=12cm,d=4cm

a=c+b+d=6+12+4=22cm

Area of one triangle =$\frac{1}{2}\times c\times h=\frac{1}{2}\times 6\times 10=30cm^2$

Area of other triangle =$\frac{1}{2}\times d\times h=\frac{1}{2}\times 4\times 10=20cm^2$

Area of rectangle =$10\times 12=120cm^2$

Area of WXYZ=$30+40+120=170cm^2$

Area of  WXYZ=$\frac{1}{2}(22+12)\times 10=170cm^2$

LHS=RHS

Hence, verified.

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