Question

A shape similar to PQRS consisting of an isosceles triangle and a semi circle of radius 35cm was cut off from a metal plate ABCD rectangular in shape.(Picture of the figure is attached below)
1}Find the area of the rectangle ABCD.
2}Find the area of the shape PQRS cut off.

Answer 1

Answer:

1)5960cm^2

2)170cm^2

Step-by-step explanation:

let O be centre of a circle & join OR

lenght Of rectangle = diameter of circle

so lenght =2*35

lenght is 70

now breath is AD that is PO+OR

breath = 54+35

breath =89

ar(abcd)=70*89=5960

ar (PQRS)=2*ar(PQS)

ar PQRS)=2*1/2*54*35

ar(PQRs)=170