Gessenia is having trouble interpreting how the constants within each expression can be represented in the given scenario. Draw a model or write an expression that explains this term.
1 answer
Question:
Gessenia is having trouble interpreting how the constants within each expression can be represented in the given scenario. Draw a model or write an expression that explains this term.
Answers
Answer:The height and width of the interior tile = 3·x + 4 - 4 = 3·x and 2·x + 4 - 4= 2·xPlease see attached diagramStep-by-step explanation:The given parameters are;The given rectangular floor tile with width = 3·x + 4 and height = 2·x + 4Where, x is in centimetresThe interior tile maintains a height to width ration of 2:3The dimension of the trim border = 2 cmTherefore;The relationship between the width and height of the interior and exterior tiles is given as followsWidth of exterior tile = Width of interior tile + 2 × The dimension of the trim border Which gives;Width of exterior tile = Width of interior tile + 2 × 2 = Width of interior tile + 4Height of exterior tile = Height of interior tile + 2 × The dimension of the trim border Height of exterior tile = Height of interior tile + 2 × 2 = Height of interior tile + 4Where the interior tile maintains a height to width ration of 2:3, we have; For a unit length x, The height and the width of the interior tiles are 2·x:3·xTherefore, for a given height 2·x, the width will be 3·xGiven the width of the exterior tile = 3·x + 4The height of the exterior tile will then be 2·x + 4 and the width of the exterior tile will be 3·x + 4The sides ratio of the interior tiles remain 2·x:3·x = 2/3
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