Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
The formula for finding the area of a trapezoid is: sum of bases*height*1/2
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.
Check:
119+65=184
184*61.5=11316
11316*1/2=5658
Half the chance of landing tail once(1/2)
Half the chance of land tails four times (1/2 of 1/2 of 1/2 of 1/2)
1/16
