length of grass = 2 + 2 x
width of grass = 1.5 + 2 x
area of grass = (2x+2)(2x+1.5) - (2) (1.5) = 4 x^2 + 7 x + 3 - 3 = 4x^2+7x
4 x^2 + 7 x - 24.5 = 0 (I use https://www.mathsisfun.com/quadratic-equation-solver.html )
x =-3.5 or + 1.75
do not use negative width so 1.75
A child’s sandpit is rectangular with dimensions 2m x 1.5m. The sandpit is surrounded by a grassed area of uniform width covering an area of 24.5m^2
Calculate the uniform width of the grassed area
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5 answers