Question

A rectangular sticker has an area of 30sq. and it's perimeter is 26cm . what are the dimensions of the sticker?​

Answer 1

Answer:

l×b=30cm^2

l=30/b eq.1

2(l+b)=26cm

l+b=13 eq.2

sub eq.1 in eq.2

30/b +b=13

30+b^2=13b

b^2-13b+30=0

b^2-10b-3b+30=0

b(b-10)-3(b-10)=0

(b-3)(b-10)=0

b=3,b=10

Case 1,

if b=3cm,l=10cm

Case 2,

if b=10cm,l=3cm

Answer 2

The dimensions are 3 cm and 10 cm

Step-by-step explanation:

Let the length and breadth be x and y

Area of rectangle = $Length \times Breadth = x \times y$

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

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

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

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

Substitute the value of x from A in B

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

Hence the dimensions are 3 cm and 10 cm

#Learn more:

The area of a rectangular piece of cardboard is 36 sq.cm and its length is 9cm. fid the width of the cardboard

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