Question

102 - Harder brackets

Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121​

Answer 1

For figure 1:

Area of rectangle = 7x + 21

For figure 2:

Area of rectangle =
`\mathbf{p^2-9p }`

Explanation:

We need to find area of rectangle

The formula used is:
`Area\:of\:rectangle=Length* Width`

For figure 1:

Length = 7

Width = x+3

Putting values in formula and finding area of rectangle

`Area\:of\:rectangle=Length* Width\\Area\:of\:rectangle=7* (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\`

So, area of rectangle = 7x + 21

For figure 2:

Length = p

Width = p-9

Putting values in formula and finding area of rectangle

`Area\:of\:rectangle=Length* Width\\Area\:of\:rectangle=p* (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\`

So, area of rectangle =
`\mathbf{p^2-9p }`