Fannie is making a rectangular blanket. The length of the blanket is 10 inches greater than its width, w, in inches. Write the function, f(w), that describes the area, in square inches, of Fannie's blanket as a function of the width, w

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Answer:

The function f(w) = w²+ 10w gives the area of the rectangular blanket.

It can be written as

f(w) =  (w+10) w.

Step-by-step explanation:

Let the width of the rectangular blanket be given by w and the length be given by l. According to the given condition length = 10+ width

Area of the rectangular blanket= length * width

A= l*w    ( as l= w+10)

A = (w+10) w

A= w²+ 10w

The function f(w) = w²+ 10w gives the area of the rectangular blanket.

It can be written as

f(w) =  (w+10) w.

The function f(w) = w²+ 10w gives the area of the rectangular blanket.

What is the area of a rectangle?

The area of the rectangle is the product of the length and width of a rectangle.

Area of rectangle = L × W

Let the width of the rectangular blanket be given as w and the length be given by l.

The length is given as 10 inches greater than its width

length = 10+ width

Area of the rectangular blanket= length × width

A= l × w    

also, A = (w+10) w

A= w²+ 10w

Therefore, the function f(w) = w²+ 10w gives the area of the rectangular blanket.

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