The dimensions of a window are 5x+5 and 2x+6. What is the area of the window?

Question

asked May 17, 2024 230k views

2 Answers

Machinery · Answer 1 · 2024-05-18T20:00:05+0000

$\Large\texttt{Explanation}$

We are asked to find the area of a window, given that:

The formula for a rectangle's area (assuming the window is a rectangle) is A = LW, where A = area, L = length, and W = width.

Substitute the values:

$\multimap\qquad\bf{A=(5x+5)(2x+6)}$

To multiply these binomials, use FOIL (first, outside, inside, last):

$\multimap\qquad\bf{A=5x*2x+5x*6+5*2x+5*6}$

$\multimap\qquad\bf{A=10x^2+30x+10x+30}$

$\multimap\qquad\boxed{\bf{A=10x^2+40x+30}}$

$\therefore$ the area is 10x^2 + 40x + 30.

Underfrog · Answer 2 · 2024-05-23T04:28:44+0000

Answer:

$\sf \textsf{Area of the window} = 10x^2 + 40x + 30$

Explanation:

To find the area of the window, we need to multiply its length and width.

The dimensions of the window are given as
$\sf 5x + 5$ and
$\sf 2x + 6$ .

The area (
$\sf A$ ) is given by:

$\sf A = \text{Length} * \text{Width}$

Substitute the given expressions for length and width:

$\sf A = (5x + 5) * (2x + 6)$

Now, use the distributive property to multiply:

$\sf A = 5x * (2x + 6) + 5 * (2x + 6)$

$\sf A = 10x^2 + 30x + 10x + 30$

Combine like terms:

$\sf A = 10x^2 + 40x + 30$

So, the area of the window is
$\sf 10x^2 + 40x + 30$ .