## Tuesday, May 13, 2008

Geometric Problems

1. The length of the triangle is 3 times the width. the perimeter is 96 cm. Find the width and length. The sides are ____cm, _____cm. This is the diagram of the problem

This is to be done in solving this problem

let x = w. align all sides and their labels. place the perimeter is equal to 96. add all the sides of the rectangle and place it beside the perimeter. then solve for x

this is the solution of x. x = 12. i substitute the sides' label beside it resulting 3x to be 3(12). then simplify it ( 3 (12) to 36) and place it above the given perimeter or total. add the simplified length of each side to check if the total will be the given perimeter.
and to finish this problem, we must finish it by answering the simple question.

The sides are 36 cm, 12 cm.
Note: this is very important. you will lose most of the marks if this is not done.

2. the length of a rectangle is 5m greater than the width. the perimeter is 150m. find the width and the length.

simple sentence: the sides are ____m, _____m.

diagram:

align the sides with their labels beside them. include the perimeter under the line with its value 150 m far away beside it.

this is the solution of the problem.

then answer the simple sentence: the sides are 40m , and 35 m.

3. the first side of a triangle is 8 m shorter than the second side. the third side is 45 times as long as the first side. the perimeter is 2 m. find the length of each side.

the simple sentence is : the sides are ___m, ___m, ____m.

diagram:

this must be done to solve this problem

the solution of this problem

finish this problem by completing the simple sentence:

the sides are 3m, 11m, 12m.

4. the third side is 30 m shorter than twice the length of each congruent side. the perimeter is 570. find the length of each side

the sides are ___m, ____m, ____m.

diagram:

the steps are indicated to the previous problems.

finish this problem by completing the simple sentence:

the sides are 150m, 150m, 270m.