Question

Please help I’m stuck

Answer 1

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$area = x {}^{2} - 144$

$length \times width \: = area$

$length = x + 12$

${x}^{2} - 144 = (x + 12)(x - 12)$

So Put values for ans

$(x + 12)width = (x + 12)(x - 12)$

$width = (x - 12) \:m \: \: ans \:$

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Answer 2

Question:

The rectangle has an area of x² - 144 meters and a length of x + 12 meters. What expression represents the width of the rectangle?

Given:

Area of rectangle = (x² - 144) m²

Length = (x + 12) m

To find:

Width = B

Answer:

(x - 12) meters.

Solution:

We know,

Area of rectangle = Length × Breadth(Width)

$({x}^{2} - 144) = (x + 12) \times B \\ \\ (x - 12) (x + 12) = (x + 12) \times B \\ \\ \dfrac{(x - 12) \cancel{( x+ 12)}}{\cancel{(x+ 12)}} = B \\ \\ B = (x - 12)$

Therefore, width of the rectangle is (x - 12) meters.

Identity used:

a² - b² = (a + b) (a - b)

☆ More to know ☆

☆ It is a quadrilateral whose opposite sides are equal and parallel.

☆ The diagonals of rectangle are equal to each other.

☆ Perimeter of rectangle = 2 (Length + Breadth)

☆ Each interior angle of a rectangle is equal to 90°