Question

Two rectangles have different dimensions. Each rectangle has a perimeter of (7x + 5) inches. Draw and label diagrams that represent possible dimensions of the rectangles.

Answer 1

Hint: Perimeter of rectangle is = $=2\times (l+b)$

Step 1: For first rectangle:

We know that $7x+5=2\times \{\left(\frac{3}{2}x+1\right)+\left(2x+\frac{3}{2}\right)\}$

Now comparing it with $2\times (l+b)$ that is the perimeter of rectangle we get

$\mathrm{L}=\left(\frac{3}{2}\mathrm{x}+1\right)\mathrm{inches}\mathrm{and}\mathrm{B}=\left(2\mathrm{x}+\frac{3}{2}\right)\mathrm{inches}$

Step 2:

For second rectangle:

We know that $7x+5=2\left\{\left(\frac{1}{2}x+2\right)+\left(3x+\frac{1}{2}\right)\right\}$

Now comparing it with $2\times (l+b)$ that is the perimeter of rectangle we get

$\mathrm{L}=\left(\frac{1}{2}\mathrm{x}+2\right)\mathrm{inches}\mathrm{and}\mathrm{B}=\left(3\mathrm{x}+\frac{1}{2}\right)\mathrm{inches}$