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.
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.
1 answer