Question

by 7 cm. If the length is decreased by 4 cm a
the breadth is increased by 3 cm. the area of the new rectangle is the same as the area of the
original rectangle. Find the length and the breadth of the original rectangle.
16. The width of a rectangle is two-thirds its length. If the perimeter is 180 metres, find the
dimensions of the rectangle.
17. An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude
increased by 4 cm and the base decream​

Answer 1

Answer:

Therefore, length =x+7 cm

According to the question,

(x+3)(x+3)=x(x+7)

x

2

+9+6x=x

2

+7x

x=9

Hence, dimensions of original rectangle,

Length = 16 cm

Breadth = 9 cm

Answer 2

Step-by-step explanation:

Let the breadth of the rectangle be x cm.

Therefore, length =x+7 cm

According to the question,

(x+3)(x+3)=x(x+7)

x

2

+9+6x=x

2

+7x

x=9

Hence, dimensions of original rectangle,

Length = 16 cm

Breadth = 9 cm

17=