Question

a rectangle has a width represented by the expression (2y) and a length represented by (12y - 5). which expression represents the area of the rectangle?
options: (28y - 10), (24y - 10), (24y^2 - 10y), (12y^2 - 5y)

Explanation:

Step1: Recall area formula for rectangle

Area = width × length

Step2: Substitute given expressions

Area = $2y \times (12y - 5)$

Step3: Apply distributive property

$2y \times 12y - 2y \times 5$

Step4: Calculate each term

$24y^2 - 10y$

Answer:

$24y^2 - 10y$