Question

Diagonals of a quadrilateral measure 42 metre and the length of the perpendiculars drawn to is it from the opposite vertices is in the ratio 2 is to 3 find the length of the perpendiculars if the area of the quadrilateral is 420 metre square

Answer 1

Answer:

8m and 12m

Step-by-step explanation:

• 1/2(2x)(42)+1/2(3x)(42)= 420m^2
• 42x+63x=420m^2
• 105x=420m^2
• x=420/105
• x=4

therefore, length of perpendiculars:

2x=2(4)=8m

3x=3(4)=12m