1 Mr. Luu was gifted a picture frame. He wants to know if his family photo will fit inside the frame. Below is a solid-coloured rectangle that represents the picture frame (perimeter=43) and the dot filled rectangle that represents his family photo. 3x + 7 2x + 2 2x 3x + 7 x+10 x+10 a) Write an algebraic expression, in standard form, that represents the total area of the frame. b) Write an algebraic expression, in standard form, that represents the total area of just the family picture. c) Find the value of x for the frame. Using this value, determine if the family picture will fit in the frame. 2x + 2 The perimeter of the solid rectangle is 43 units 2x
1 Mr. Luu was gifted a picture frame. He wants to know if his family photo will fit inside the frame. Below is a solid-coloured rectangle that represents the picture frame (perimeter=43) and the dot filled rectangle that represents his family photo. 3x + 7 2x + 2 2x 3x + 7 x+10 x+10 a) Write an algebraic expression, in standard form, that represents the total area of the frame. b) Write an algebraic expression, in standard form, that represents the total area of just the family picture. c) Find the value of x for the frame. Using this value, determine if the family picture will fit in the frame. 2x + 2 The perimeter of the solid rectangle is 43 units 2x
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.5: The Distributive Property
Problem 20WE
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Transcribed Image Text:1 Mr. Luu was gifted a picture frame. He wants to know if his family
photo will fit inside the frame. Below is a solid-coloured rectangle
that represents the picture frame (perimeter=43) and the dot filled
rectangle that represents his family photo.
3x + 7
2x + 2
2x
3x + 7
x+10
x+10
a) Write an algebraic expression, in standard form, that
represents the total area of the frame.
b) Write an algebraic expression, in standard form, that
represents the total area of just the family picture.
c) Find the value of x for the frame. Using this value, determine if
the family picture will fit in the frame.
2x + 2
The perimeter
of the solid
rectangle is 43
units
2x
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