Question

a string of length 12is bent into square PQRS and then into an isosceles triangle PQT by keeping the side PQ of the square at the base then the area of square PQRS :area of triangle PQT​

Answer 1

Side PQ of the square PQRS=
4
12
​
=3
Hence, side PT and QT =
2
9
​
=4.5
Height = 4.5
2
−1.5
2
=h
2

h=
18
​

area of triangle =
2
18
​
×4.5
​

area of square = 9
Ratio =
4.5
18
​

​

4.5
​

2
​