Question

2. The length of a rectangle is 4 times its width. The area of the rectangle is 144 square inches.
Find the dimensions of the rectangle.​

Answer 1

Step-by-step explanation:

according to the question ,

l=4b

area =144

area of the rectangle=l*b

144=4b*b

144=4b²

b²=144/4

b²=36

b=√36

b=6

from, l=4b

l=4*6

l=24.

therefore l=24 and B=6

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Answer 2

Answer:

Step-by-step explanation:

To find the dimensions of the rectangle given in the question

Area = 144 $inche^{2}$(given)

The length of a rectangle is 4 times its width(given)

Step = Let the width of the rectangle be 'x' [According to the condition of the question]

And,

Let the length of the rectangle be '4x' [According to the condition of the question]

Area = 144 $inche^{2}$(given)

As we know that area of a rectangle is length(l) X breadth(b)

Area = l X b

144 = 4x[Length] X x[Breadth or Width]

144 = 4$x^{2}$

$x^{2}$ = 144/4

$x^{2}$ = 36

x = $36^{1/2}$ or $\sqrt{36}$

  = 6 inches

Dimensions

Length = 4x                              Breadth = x

            = 4(6)[As x = 6)                           = 6 inches[ As x = 6)

            = 24 inches