If the parallel sides of a trapezium are 2 cm apart and their sum is 10 cm then find its area.

Step-by-step explanation:

Given,

Sum of parallel sides of the trapezium = 10 cm

Distance between or Height of the trapezium = 2 cm

As we know,

Area of a trapezium

Therefore,

Area of the given trapezium will be,

= 1 × 10 cm × 1 cm

Hence,

The Area of the trapezium is 10 sq.cm (Ans)

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4