Question

Given: KLMN is a trapezoid

m∠K = 90°, m∠N = 45°
LK = LM = 10
Find: KN, Area of KLMN

Answer 1

KN=20 KLMN=150

Explanation:

Answer 2

KN =KS +SNKS =10Δ MSN is isosceles, because m∠MSN=90⁰, m∠N=45⁰, so m∠NMS=45⁰,
and MS=SN=10.KN =KS +SN =10+10=20
KN=20Area of a trapezoid = (1/2)*(b1+b2)*h
b1=10, b2=20, h=10Area of a trapezoid = (1/2)*(10+20)*10=150Area of trapezoid KLMN =150KN=20