Question

Children play a form of hopscotch called Jumby. The pattern for the game is as given below.

Find the area of the pattern simplest in form.
(SHOW WORK)

Answer 1

Step-by-step explanation:

Given is a form of hopscotch called Jumby.

The pattern consists of 7 identical rectangles with length t+3 and width 5

To find area it is necessary to add the totals of all 7 rectangles

OR area = 7 * area of one rectangle

Area of one rectangle
`= lw \\= t(t+3)\\= t^2+3t`

Hence area of whole figure =
`7(t^2+3t)\\=7t^2+21t`

Answer 2

• 
  `7t^2+21t`

Step-by-step explanation:

The pattern of the game consists on 7 congruent (necessary assumption) rectangles.

The dimensions of such congruent rectangles are given for the rectangle number 6: lenght = t + 3 (a binomial) and width = t (a monomial).

So, the area of each rectangle is found as the product of a monomial and a binomial:

• 
  `t(t+3)`

Apply distributive property:

• 
  `t^2+3t`

Since that is the area on one rectangle, you have to mulply by the number of reactangles (7):

• 
  `7(t^2+3t)=7t^2+21t` ← answer