Mensuration Practice Test 1

Area of the central park = L × b
= 40 × 30 = 1,200 m2
Area of cross roads (let us suppose that width = x)

Area of PQRS + Area of TUVW − Area of LMNO
40 × x + 30 + x − x2
40x + 30x − x2
70x − x2
According to the statement, area of cross roadsis half the area of the rectangle.
70x - x2 =

1200

2

70x − x2 = 600
−x2 + 70x − 600 = 0
x2 + 70x + 600 = 0
x2 − 60x −10x + 600 = 0
x(x − 60)−10(x − 60) = 0
x = 60, 10
x = 60
Impossible
Width = x = 10 meters