the area of a field in the shape of a trapezium measures 1440m square. the perpendicular distance between the parallel side is 24m. if the ratio of the parallel sides is 5:3 what is the length of the longer parallel side
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area=1/2×h(a+b)
perpendicular distance= height=24
a & b are two parallel sides
let's a is 5x
let's b is 3x
area=1440msq
1440m=1/2*24(5x+3x)
1440m= 1/2*24(8x)
1440=96x
1440/96=x
x=15
a=5x=5(15)=75
b=3x=3(15)=45
longest side is a=75
smallest side is b=45
perpendicular distance= height=24
a & b are two parallel sides
let's a is 5x
let's b is 3x
area=1440msq
1440m=1/2*24(5x+3x)
1440m= 1/2*24(8x)
1440=96x
1440/96=x
x=15
a=5x=5(15)=75
b=3x=3(15)=45
longest side is a=75
smallest side is b=45
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