Question

Hugo is designing a frame as shown at the right. The frame has a width of x inches all the way around. Write. an expression that represents the total area of the picture and frame.​

Answer 1

The expression which shows the total area of the picture and frame is $x^{2} +72x$+320.

Given that the width of the frame is x ,length horizontally be 20 inches and vertically be 16 inches.

We are required to find the expression which shows the total area of the picture and frame.

Expression is basically a combination of numbers, symbols, coefficients, determinants, indeterminants,etc. and are mostly not found in equal to form.

Since we are given that the width of the frame be x, So,the are of only frame will be :

Area of frame=20*x*2+16*x*2+x*x

=40x+32x+$x^{2}$

=$x^{2}$+72x

Area of picture=20*16=320 $inches^{2}$

The expression which shows the total area of the picture and frame is $x^{2} +72x$+320.

Hence the expression which shows the total area of the picture and frame is $x^{2} +72x$+320.

Learn more about expression at brainly.com/question/723406

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