Question 724380
Total area of garden =17*10 = 170 m^2

Equal amounts in length are subtracted from the sides . -----x

Width of court = 10-2x
length of court = 17-2x

Area of court = (10-2x)(17-2x)

Area of garden - area of court = 92

170-(10-2x)(17-2x)= 92

170-(170-20x-34x+4x^2)=92

170-170+54x-4x^2=92

OR
4x^2-54x+92=0
4x^2-8x-46x+82=0

4x(x-2)-46(x-2)=0

(4x-46)(x-2)=0

x=2 OR 46/4

46/4 is not possible

width = 2 m

Dimensions are 10-4 =6m
17-4 = 13m