A rectangle has a length of (2c + 1) and a width of (3 + c). If c = 3, what is the area of the rectangle? 13 square units 42 square units 36 square units 12 square units

42 square units

Step-by-step explanation:

By substituting the value of 3 to the given, we can find that the length of the rectangle is 7 units and the width is 6 units. For the area of the rectangle, the formula is lxw so the answer is 42 square units

42 units²

Step-by-step explanation:

Formula to find the area of a rectangle.

Area = Length ×  Width

According to the question,

Area = ( 2c + 1 ) ( 3 + c )

        = 2c ( 3 + c ) + 1 ( 3 + c )

        = 6c + 2c² + 3 + c

        = 2c² + 7c + 3

Now, they have given that,

c = 3

So, now let us put 3 instead of c to the equation and let us find the area of the rectangle.

Area =  2c² + 7c + 3

        = 2 × (3)² + 7 × 3 + 3

        = 2 × 9 + 21 + 3

        = 18 + 21 + 3

        = 42 units²

Hope this helps you :-)

Let me know if you have any other questions :-)

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