Find and simplify an expression for the area of two rows of b squares with side lengths of b centimeters. Please help!
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Answer:
The complete area of the given figure is [tex](2 b^3) cm^2[/tex]
Step-by-step explanation:
Total number of rows = 2
Squares in each row = b
So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b
Also, side length of 1 square = b cm
As we know, AREA OF SQUARE = SIDE x SIDE
So here, area of 1 square = Side x side = b cm x b cm = [tex](b^2) cm^2[/tex]
⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)
[tex]= 2 b \times (b^2) = 2 b^3[/tex]
Hence, the complete area of the given figure is [tex](2 b^3) cm^2[/tex]
The simplified expression for area of two rows of b squares with side lengths of b centimeters is [tex]\rm \bold{2b^3 cm^2}[/tex]
We have to find and simplify an expression for the area of two rows of b squares with side lengths of b centimeters.
Given that
There are b squares in 1 row
So the total number of squares in 2 rows = 2b
[tex]\rm The \; dimensions\; of \;one\; square = b \; (cm ) \times b\; (cm)[/tex]
[tex]\rm The\; area\; of \; square \; with \; side \; s \; cm \; is \; given\; by \; s^2 cm^2[/tex]
[tex]\rm So \; the \; area\; of \; single\; square\; in\; the\; given \; figure = b \times b = b^2 cm^2 \\[/tex]
[tex]\rm So \; the \; total\; area\; of \; all \; the \; squares\; in \; the \; given\; figure = 2b \times b^2 cm^2 = \bold{2b^3 cm^2}[/tex]
So the simplified expression for area of two rows of b squares with side lengths of b centimeters is [tex]\rm \bold{2b^3 cm^2}[/tex]
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https://brainly.com/question/11505374