Question

Given that the area of rectangle is 42cm and the breath is 6cm find its length​

Answer 1

Answer:

Length = $2\sqrt{58}$

Explanation:

The width of the triangle is 6 cm. We are given the area. Lets work through this step by step.

First of all, the area of a triangle is $A= \frac{1}{2} b * h$

We know that the breadth, or the base, b, is 6 cm.

Substitute the value of 6 for B

$A = 1/2(6) * h$

What we need to do is find the length of the height, H. Therefore

$42 = 1/2(6) * h$

$42 = 3h$

Divide each side by 3 to isolate h

$14 = h$

The height is 14.

In order to determine the length, just substitute the values of 6 and 14 for a^2 and b^2 in the pythagorean theorem.

$a^2 + b^2 = c^2\\6^2 + 14^2 = c^2\\36 + 196 = c^2\\232 = c^2$

Take the square root of both sides to simplify c.

$c= 2\sqrt{58}$

This is approximately equal to

$15.232$ cm's