Question

A rectangular sticker has a perimeter of 26 centimeters and an area of 30 square centimeters. What are the dimensions of the sticker

Answer 1

Answer:

Let the length and breadth be x and y

Area of rectangle = Length \times Breadth = x \times yLength×Breadth=x×y

We are give that A rectangular sticker has an area of 30sq

So,xy = 30xy=30 ----- A

Perimeter of rectangle = 2(Length+ Breadth)=2(x+y)2(Length+Breadth)=2(x+y)

Perimeter of rectangle = 2(x+y)=262(x+y)=26 --- B

Substitute the value of x from A in B

\begin{lgathered}2(\frac{30}{y}+y)=26\\\frac{30}{y}+y=13\\y^2-13y+30=0\\(y-3)(y-10)=0\\y=3,10\end{lgathered}

2(

y

30

+y)=26

y

30

+y=13

y

2

−13y+30=0

(y−3)(y−10)=0

y=3,10