1. A rectangle has dimensions 3x-1 and 2x + 5. Write

an expression for the area of the rectangle as a

product and in standard form.

Verified Answer :

Setor9

Area= Length × Width
Area= (3x-1)(2x+5)
Area=6x^2+15x-2x-5
Area=6x^2+13x-5==>Answer

Area of rectangle as a product and in standard form=\(6x^2+13x-5\)

What is rectangle?

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

According to questions, a rectangle has dimensions \(3x-1\) and \(2x+5\).

We have to write an expression  for the area of the rectangle as a

product and in standard form.

Area of rectangle \(=\) Length × Breadth

                             \(=(3x-1)\)× (\(2x+5)\)

                             \(=6x^2+13x-5\)

Hence we can conclude that \(6x^2+13x-5\) is an a expression for the area of the rectangle as a product and in standard form.

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