Chapter 4.1, Problem 60STP

To determine

Expression for area of rectangle

Answer to Problem 60STP

  $2x+14$

Explanation of Solution

Given information:

Length of rectangle $=x+7$

Breadth of rectangle $=2$

Concept Used:

Distributive Property: The product sum or difference of two or more numbers inside a parentheses with another number outside the parentheses is equivalent to the sum or difference of product of number outside the parentheses with each number inside the parenthesis. i.e.-

  $a\left(b+c-d\right)=ab+ac-ad$

Calculation:

Ares of rectangle is the product of its length and breadth

Therefore, expression for area of given rectangle will be

  $2\left(x+7\right)$

We can write the given expression using distributive property-

  $2\left(x+7\right)=2x+14$