Question

The length of a rectangle is 17cm more than its breadth. Its perimeter is 234cm. Find
the dimensions of the rectangle.​

Answer 1

Answer:

Length = 67 cm, Breadth = 50 cm

Step-by-step explanation:

P = 2(L + B) -> Eq. 1

L = B + 17 -> Eq. 2

Substituting Eq. 2 and value of perimeter in Eq. 1:

234 = 2(B + 17 + B)

117 = 2B + 17

2B = 100

B = 50

L = 50 + 17

L = 67

Answer 2

let the breadth of rectangle = x

then, length =( 17 +x)cm

perimeter = 234cm

perimeter of rectangle =2(l + b)

234=2[(17+x) +x]

234÷2=17+2x

117-17=2x

100=2x

x= 100÷2

x= 50

so, breadth= 50 cm

and length = (17 +x)

= 17 +50

=67cm