2. A rectangle has a perimeter measuring 64 cm. The length is 4 cmmore

1.	2. A rectangle has a perimeter measuring 64 cm. The length is 4 cmmore than 3 times the breadth. Find the dimensions of therectangle.
Answer» ANSWER : Dimensions are 25 cm and 7 cm. EXPLANATION : GIVEN :- Perimeter of rectangle is 64 cm. The length is 4cm more than 3 times the breadth. TO FIND : Dimensions of the rectangle. SOLUTION : Let the breadth of the rectangle be x cm. Length is 4 cm more than 3 times the breadth. Length = (3x + 4) cm We know, ${\boxed{\sf{Perimeter\:of\: rectangle=2(Length+Breadth)}}}$ Perimeter = 2(3x+4+x) cm → Perimeter = 2(4x+4) cm → Perimeter = 8(x+1) cm ★ According to the QUESTION, $\sf{\:\:\:\:\:8(x+1)=64}$ $\implies\sf{x+1=\frac{64}{8}}$ $\implies\sf{x+1=8}$ $\implies\sf{x=8-1}$ $\implies\sf{x=7}$ Breadth = 7 cm. Length = (3 × 7 + 4 ) cm → Length = 25 cm Therefore ,dimensions are 25 cm and 7 cm. _____________________ ★VERIFICATION : Length of rectangle = 25 cm. Breadth of rectangle = 7 cm. Perimeter of rectangle=2(25+7) cm → Perimeter of rectangle= 64 cm. Hence verified___!! ______________________

2. A rectangle has a perimeter measuring 64 cm. The length is 4 cmmore than 3 times the breadth. Find the dimensions of therectangle.

Answer»

ANSWER :

Dimensions are 25 cm and 7 cm.

EXPLANATION :

GIVEN :-

Perimeter of rectangle is 64 cm.
The length is 4cm more than 3 times the breadth.

TO FIND :

Dimensions of the rectangle.

SOLUTION :

Let the breadth of the rectangle be x cm.

Length is 4 cm more than 3 times the breadth.

Length = (3x + 4) cm

We know,

${\boxed{\sf{Perimeter\:of\: rectangle=2(Length+Breadth)}}}$

Perimeter = 2(3x+4+x) cm

→ Perimeter = 2(4x+4) cm

→ Perimeter = 8(x+1) cm

★ According to the QUESTION,

$\sf{\:\:\:\:\:8(x+1)=64}$

$\implies\sf{x+1=\frac{64}{8}}$

$\implies\sf{x+1=8}$

$\implies\sf{x=8-1}$

$\implies\sf{x=7}$

Breadth = 7 cm.

Length = (3 × 7 + 4 ) cm

→ Length = 25 cm

Therefore ,dimensions are 25 cm and 7 cm.

_____________________

★VERIFICATION :

Length of rectangle = 25 cm.

Breadth of rectangle = 7 cm.

Perimeter of rectangle=2(25+7) cm

→ Perimeter of rectangle= 64 cm.