The figure shows $6$ identical rectangles of length $\left( 2x+3y \right)$cm and breadth $y$ c

Question

The figure shows $6$ identical rectangles of length $\left( 2x+3y \right)$cm and breadth $y$ cm, where $x$ and $y$ are positive integers. Express the following in terms of $x$ and/or $y$. $p$, $m$, $n$. What is the condition for $y$ when $n$ is an integer, $n$ and $x$ are both even? State a possible value of $y$ when $n$ is an even number and $x$ is an odd number.

Accepted Answer

(a)(i) $p=(2x+5y)$ cm. (a)(ii) $m=x$ cm. (a)(iii) $n=\left(x+\frac{3y}{2}\right)$ cm. (b)(i) $y$ is even. (b)(ii) $y$ is a multiple of $4$. (c) One possible value is $y=2$.

Algebraic Expressions in a Composite Rectangle Diagram

Algebraic Expressions in a Composite Rectangle Diagram

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