A rectangular turf of size 20 feet by 34 feet is surrounded by a flower bed of uniform width all around. The total area of the turf and the flower bed is 1200 sq. ft. What is the width of the
flower bed? Show your work algebraically.(4 points)

9.18 feet

Step-by-step explanation:

dimensions of whole area = (20 + x)(34 + x)

= 680 + 54x + x^2

where x is the width of the flower bed.

we know that x^2 + 54x + 680 = 1200

x^2 + 54x - 520 = 0

x = 9.18 or x = -63.18

width of flower bed cannot be negative therefore it is width 9.18 feet

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.