Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. what is the length of jason’s tool shed?

Area of rectangle is equal to multiply the length by wide.

i,e

where

A is the area of the rectangle

l is the length of the rectangle and

w is the width of the rectangle.

As per the given statement:

Width of rectangular tool(w) = 8 meters

Area of rectangular tool(A) = 96 square meters

By definition:

Substitute the given values we have;

Divide both sides by 8 we get;

12 meter = l

Therefore, the length of Jason's tool is, 12 meters

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°