Question

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

Answer 1

Length =
`2√(58)`

Step-by-step 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= (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√(58)`

This is approximately equal to

`15.232` cm's