A rectangle is (x + 6) meters (m) long and (2x - 1) meters wide. (x + 6) m
(2x - 1) m
Which expression represents the area of the rectangle in square meters?
O 2x2 - 6
020? + 7-6
O 2012 + 112 - 6
202 + 13x - 6

Option (3)

Step-by-step explanation:

Length of the given rectangle = (x + 6) meters

Width of the given rectangle = (2x - 1) meters

Area of a rectangle = Length × Width

                                = (x + 6)(2x - 1)

                                = x(2x - 1) + 6(2x - 1)

                                = 2x² - x + 12x - 6

                                = (2x² + 11x - 6) square meters

Therefore, area of the given rectangle is defined by the expression given in option (3).

21/58.

hope to be marked brainliest

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°