Refresher - MATHEMATICS Quiz 1
PROBLEM 1:
A rectangular garden measures 80 by 60 m. A large path of uniform width is to be
added along both shorter sides and oe longer side of the garden. The landscape
artist doing the work wants to double the gardens area with the addition of this
path. How wide should the path be?
Solution:
x x
60
80 x
80 + 2x
Old A = 80(60) = 4800
New A = 2(4800) = 9600
9600 = (80 + 2x)(60 + x)
9600 = 4800 + 120x + 80x + 2x 2
2x 2+ 200x - 4800 = 0
x 2 + 100 - 2400 = 0
x = 20
, Refresher - MATHEMATICS Quiz 1
PROBLEM 2:
What is the equivalent of 630˚ in the centesimal system?
Solution:
The units of angle in centesimal system is grads,
where 90˚ = 100 grads.
100 grads
630˚ x = 700 grads
90˚
PROBLEM 1:
A rectangular garden measures 80 by 60 m. A large path of uniform width is to be
added along both shorter sides and oe longer side of the garden. The landscape
artist doing the work wants to double the gardens area with the addition of this
path. How wide should the path be?
Solution:
x x
60
80 x
80 + 2x
Old A = 80(60) = 4800
New A = 2(4800) = 9600
9600 = (80 + 2x)(60 + x)
9600 = 4800 + 120x + 80x + 2x 2
2x 2+ 200x - 4800 = 0
x 2 + 100 - 2400 = 0
x = 20
, Refresher - MATHEMATICS Quiz 1
PROBLEM 2:
What is the equivalent of 630˚ in the centesimal system?
Solution:
The units of angle in centesimal system is grads,
where 90˚ = 100 grads.
100 grads
630˚ x = 700 grads
90˚
