Question
A kite with a 10cm height and a 5 cm width.
1. By what factor does the area change if both diagonals are doubled? Explain.
2. By what factor does the area change if one diagonal is doubled? Explain.
Answers
Arora
1) Area of the kite = (p*q)/2
Where p and q are both the diagonals.
A(initial) = (p*q)/2
A(final) = ((2p)*(2q))/2
= 4(p*q)/2
= 4*A(inital)
It increases by a factor of 4.
2)
A(initial) = (p*q)/2
A(final) = ((2p)*(q))/2
= 2(p*q)/2
= 2*A(inital)
It increases by a factor of 2.
Where p and q are both the diagonals.
A(initial) = (p*q)/2
A(final) = ((2p)*(2q))/2
= 4(p*q)/2
= 4*A(inital)
It increases by a factor of 4.
2)
A(initial) = (p*q)/2
A(final) = ((2p)*(q))/2
= 2(p*q)/2
= 2*A(inital)
It increases by a factor of 2.