Students decide to make valentine’s day cards. the total area of each card is equal to (x^2 - 4x - 5)cm^2.
a. factorise the expression to find the dimensions of the cards in terms of x.
b. write down the length of the shorter side in terms of x.
c. if the shorter sides of a card are 10cm in length and the longer sides are 16cm in length, find the value of x.
d. find the area of the card proposed in part c.
e. if the students want to make 3000 valentine’s day cards, how much cardboard will be required? give your answers in terms of x.