Question

If a field's height is 4x and breadth is 3x and the area is 240 m. Find the field's height and breadth.

Answer 1

Answer:

Length= 4√20 Breadth= 3√20

Step-by-step explanation:

Area of field= Length X Breadth

=4x X 3x

=12x^2. (twelve x square)

12x^2 = 240

x^2 = 240/12

x^2 = 20

x=√20

Therefore, Length=4x=4√20 and Breadth=3x=3√20

Answer 2

$\mathfrak{\large {\underline {\underline{Answer \: : - }}}}$

❖ Length of the field is 160m

❖ Breadth of the field is 80m

$\mathfrak { \large{\underline {\underline{Explanation \: : - }}}}$

Given :

Height is 4x and breadth is 2x

Area of the field is 240m

To Find :

The height and breadth of the field.

Solution :

$\sf4x + 2x = </strong><strong>6x</strong><strong> </strong><strong>\\ </strong><strong>\</strong><strong>\</strong><strong> \implies \sf6x = 240m \\</strong><strong> </strong><strong>\</strong><strong>\</strong><strong> \implies \sf x = \frac{240}{6} = 40m$

x = 40m

$\rule{300}{1.5}$

★ Value of 4x

$\implies \sf 4 \times40 \\ \\ \implies \sf 160$

$\rule{300}{1.5}$

★ Value for 2x

$\implies \sf 2 \times40 \\ \\ \implies \sf 80$

$\rule{300}{1.5}$

❖ Length of the field is 160m

❖ Breadth of the field is 80m