Question

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?

Answer 1

Given, Side of square plot = m and height and base of triangular plot = m

∵ Area of square plot = m²  ...[∵ Area of square = (Side)²]

∴ Area of triangular plot = `1/2 xx m xx m`  ...`[∵ "Area of triangle" = 1/2 xx "height" xx "base"]`

= `m^2/2` 

∴ Total of both plots = Area of square plot + Area of triangular plot

= `m^2 + m^2/2`

= `(2m^2 + m^2)/2` ...[Taking LCM of 1 and 2 is 2]

= `(3m^2)/2`