Question

.
If the length of a rectangle increased by the ratio
of 10:11and its breadth increases by the ratio
8:15, then its area increase by the ratio of​?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

If the length of a rectangle increased by the ratio  of 10:11 and its breadth increases by the ratio  8:15, then its area increase by the ratio of​ 16 : 33

Solution:

According to question, length of a rectangle is increased by the ratio 10:11

So, let the original length be 10x and new length be 11x  

Also, breadth increases by ratio 8:15 so, let the original breadth be 8y and new breath be 15y

$\begin{array}{l}{\text { Area of old Rectangle }=\text { old length } \times \text { old breadth }} \\\\ {\text { Area of old Rectangle }=10x \times 8y=80xy}} \\\\ {\text { Area of New Rectangle }=\text { new length } \times \text { new breadth }} \\\\ {\text { Area of New Rectangle }=11x \times 15 y}=165xy}}\end{array}$

$\text { Ratio }=\frac{\text { Area of old Rectangle }}{\text { Area of new Rectangle }}=\frac{80 x y}{165 x y}=\frac{80}{165}=\frac{16}{33}$

Hence the area increase by the ratio of 16:33

Learn more about area of rectangle

The area of rectangle piece of cardboard is 80 sq cm find its length if its breadth is 6 1/4 cm

https://brainly.in/question/1217344

If the length & breadth of a rectangular room are each increased by 1m, then the area of the floor is increased by 21 sq m. If the length is increased by 1m and breadth is decreased by 1m, then the area is decreased by 5 sq m. The perimeter of the floor is :

https://brainly.in/question/5789673