Question

The sides of a rectangle are in the ratio 2:5, and its perimeter is 42 cm. What is the area of the rectangle
please dont dont give unwanted answer plzz solve this and write it below

Answer 1

Answer:

90$cm^{2}$

Step-by-step explanation:

let the length of the rectangle be 2x and breadth be 5x (because of their ratio)

perimeter of rectangle= 2(length+breadth)

                                       = 2(2x+5x)=14x

according to question:

perimeter= 14x= 42cm

                       x=3cm

so length= 2x=2*3=6cm

breadth= 5x= 5*3 cm= 15 cm

area of rectangle = length*breadth=15*6=90cm

hope this helps

Answer 2

$\huge\bold{\mathtt{Question⇒}}$

The sides of a rectangle are in the ratio $2:5,$ and its perimeter is $42$ cm. What is the area of the rectangle?

$\huge\bold{\mathtt{Given⇒}}$

• The sides of a rectangle are in the ratio $2:5.$

• Its perimeter is $42$ cm.

$\huge\bold{\mathtt{To\:find⇒}}$

The area of the rectangle.

$\huge\bold{\mathtt{Solution⇒}}$

Let length be $5x$ cm and breadth be $2x$ cm.

For rectangle,

• $\large\boxed{Perimeter = 2(l+b)\:unit}$

• $\large\boxed{Area = (l×b)\:unit²}$

Where,

• $l$ = length

• $b$ = breadth

According to condition,

$2(l+b) = 42$

Putting the values of $l$ and $b$.

$➳\:2(5x+2x) = 42$

$➳\:2×7x = 42$

$➳\:14x = 42$

$➳\:x = {\frac{42}{14}}$

$➳\:x = 3$

So, $x = 3$

Substituting $x$ with $3$.

Length $= 5x$ cm $= (5 × 3)$ cm $= 15$ cm

Breadth $= 2x$ cm $= (2 × 3)$ cm $= 6$ cm

Area of the rectangle

$= (l × b)$ unit²

Putting the values of $l$ and $b$.

$= (15 × 6)$ cm²

$= 90$ cm²

$\huge\bold{\mathtt{Hence⇒}}$

Area $= 90$ cm²

$\huge\bold{\mathtt{Therefore⇒}}$

The area of the rectangle is $90$cm².

$\huge\bold{\mathtt{Done}}$

• $\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

• $\large\bold{\mathtt{Enjoy\: learning\:!!}}$

• $\large\bold{\mathtt{Have\:a\:nice\:day.}}$