Question

12. The length and breadth of a rectangle are in the ratio 4 : 1. Find the area of the rectangle,
if the length is 64 m.​

Answer 1

Explanation:

refer to the image for answer

Answer 2

Answer:

Given :-

The length and breadth of an rectangle are in ratio of 4:1

Length =64m

To find:-

Area of the rectangle

Solution:-

Let breadth be x

length =4x

ATQ

$\\\qquad\qquad\displaystyle\sf {:}\rightarrowtail 4x=64$

$\\\qquad\qquad\displaystyle\sf {:}\rightarrowtail x=\dfrac {64}{4}$

$\\\qquad\qquad\displaystyle\sf {:}\rightarrowtail x=16$

• Breadth =16m

As we know that in a rectangle

$\boxed{\sf Area=Length\times Breadth}$

• Substitute the values

$\\\qquad\qquad\displaystyle\sf {:}\rightarrowtail Area=16\times 64$

$\\\qquad\qquad\displaystyle\sf {:}\rightarrowtail Area=1024m^2$

$\\\\\therefore\sf Area\:of\;the\:rectangle\:is\;1024m^2.$