Find the dimensions of the room?

Question

the length of a rectangular room is 8 meters more than the width. if the area of the room is 48 square meters.

Answer 1

Good morning, Ariel!

Area (A) = Length (L) x Width (W)

and the given area is 48 m²

In this case, the width is unknown,

so let W = x, and the length

(L) = x+8.

Setting up the equation:

48 = x (x+8)

48 = x² + 8x

(set the equation to =0)

x² + 8x -48 = 0

(factor)

(x +12)(x-4) = 0

(solve for x)

x+12 = 0

x = -12

x - 4 = 0

x = 4

Since the measurements

cannot be negative, use

the positive result, 4, then

complete the original

equation.

W = 4

L = 12

 

"Go Get Your "A"