A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimates that each tree will yield 300 board-feet. Estimate the yield of the stand if one-tenth of the trees are cut.

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

Where:

- Surface density, measured in trees per square meter.

- Total area, measured in square meters.

Given that and , the total amount of fir trees is:

It is known that one-tenth of the tress are cut, whose amount is:

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

Where:

- Yield of the tress, measured in board-feet per tree.

- Amount of trees that will be cut, measured in trees.

If and , then:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.