Question

Can someone show me how to solve? please take a picture of results.​

Answer 1

The answer to your question is 2x = 2
`√(17)` and 3x = 3
`√(17)`

Explanation:

Data

A = 102 m²

2x = ?

3x = ?

Formula

Area of a rectangle = base x height

Process

1.- Substitute values in the formula

102 = (2x)(3x)

2.- Simplify

102 = 6x²

102/6 = x²

17 = x²

x =
`√(17)`

3.- Find 2x and 3x

2x = 2
`√(17)`

3x = 3
`√(17)`

Answer 2

2x = 2√17 and 3x = 3√17

Explanation:

• Step 1: Given length of the rectangle is 3x and breadth is 2x. Area is 102 m². Area of the rectangle = length × breadth

102 = 2x × 3x = 6x²

x² = 102/6 = 17

x = √17

Length 2x = 2√17 and Breadth = 3x = 3√17