Question

The unlike terms in perimeters of following figures are___________ and __________.

• A. $2\mathrm{y}$
• B. $2{\mathrm{y}}^2$

Answer 1

Find the unlike terms in the perimeters of given figures.

Step1:Find the perimeter of the first figure which is a rectangle.

Perimeter of rectangle $=2(\mathrm{length}+\mathrm{breadth})$

Perimeter of rectangle $=2(2\mathrm{x}+\mathrm{y})$

Perimeter of rectangle $=4\mathrm{x}+2\mathrm{y}$
Step2:Find the perimeter of the second figure which is a parallelogram.

Perimeter of parallelogram $=\mathrm{x}+\mathrm{x}+{\mathrm{y}}^2+{\mathrm{y}}^2$

Perimeter of parallelogram $=2\mathrm{x}+2{\mathrm{y}}^2$

Hence, the unlike terms in perimeters of the following figures are$2\mathrm{y}$ and$2{\mathrm{y}}^2$.