1.

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m, find its area.

Answer» ADBE is a parallelogram
AB= DE
AD= BE
EC= 25 - BE = 15
value of s for `/_ DEC = (13+14+15)/2 = 21 `
area = `sqrt(s(s-a)(s-b)(s-c))`
`= sqrt(21*8*7*6)`
`= 7*3*2^2`
`= 84 unit^2`
`EX= 13/(13+14) *15 `
`=65/9 `
Now, `y^2 = 13^2 - (65/9)^2`
`y= 10.8`
total area= `108+ 84`
` =192 unit^2 `


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