Respuesta :

ShomiliPal07

Answer:

Length = 165.5 and Width =88.5

Step-by-step explanation:

Perimeter of rectangle is 2(L+B)

Given,

Perimeter of rectangle = 254 inches

Length = Width + 77

Consider the width of the rectangle as "x". Thus, length of the rectangle is x+77 ( as it is 77 inches more than the breadth).

Put the value in the formula.

=> 254 = 2(x+x+77)

=> 254 = (2x+77)

=> 254 -77 = 2x (Transpose +77 of R.H.S to L.H.S so it becomes -77)

=> 177 = 2x

=> 88.5 = x [ Width ]

=> 88.5 + 77 [ Length ]

=> 165.5 [ Length ]

Hope this helps you.

ilikeforknife17

Answer:

L = 102 inches, w = 25 inches

Step-by-step explanation:

We are looking for the length and width of a rectangle. Since the length is defined in terms of the width, we let W= width. The length is 77 inches more than the width, so we let W+77=L. The following formula for the perimeter relates all of the given information:

P=2L+2W

So we substitute in the given information and solve for W to find

254254254254−154100100425=2(W+77)+2W=2W+154+2W=4W+154=4W+154−154=4W=4W4=W

The width is 25 inches. The length is then

L=W+77=25+77=102

or 102 inches.

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