Question

Learning Task 4
Solve the following problems. Show the step by step process. And write a brief ex-
planation of what you do
1. The width of a bedroom floor is 5 m less than its length and its area is 84 m2
Find its dimensions.
2. A certain pipe can fill up a tank 2 hours faster than another pipe. It takes 3
and
hours for both pipes to fill up the same tank. In how many hours
would the first pipe fill up the tank?
3. A picture frame has its length 8 cm longer than its width. It has an inner
1-cm boundary such that a maximum 660 cm2-picture may fit into it. Find
the dimensions of this frame.
4. After how many seconds is needed for a thrown ball to reach a 14-m distance
if its distance is given by the relation d = 10 + 40t - 5t2? {t=time in seconds).

pa help naman po​

Answer 1

Answer:

1. Area = L*(L-5)

L^2 - 5L = 84

L^2 - 5L - 84 = 0

L^2 - 12L + 7L - 84 = 0

L(L-12) + 7(L-12) = 0

So, L = 12 m and

W = 12-5 = 7m

2. As per the question

1/t + 1/(t-2) = 1/3

(t-2+t)/(t*(t-2)) = 1/3

2(t-1)/(t*(t-2)) = 1/3

6(t-1) = t*(t-2)

t^2 - 2t - 6t + 6 = 0

t^2 - 8t + 6 = 0

So,

t = 7.16 hour

and

t-2 = 5.16 hour