How to Find the Area of a Trapezoid

We have learned how to calculate the areas of a square, rectangle, parallelogram, and circle. In this post, we are going to learn how to find the area of a trapezoid. This is the first post of Finding the Area of a Trapezoid Series.

A trapezoid is a polygon whose exactly one pair of sides are parallel*. The figure below is a trapezoid where sides a and b are parallel.

trapezoid

Notice that if we make another trapezoid which has the same size and shape as above, flip one trapezoid, and make one pair of the non-parallel sides meet, we can form the figure below. That figure is a parallelogram. Can you see why? » Read more

Grammar Tutorial: Simple Future Tense

The simple future tense indicates that the action is in the future relative to the speaker. Verbs in the future tense are not changed (or inflected), instead, helping verbs such as will and shall  are added before the base form of the verb.

Examples

I will buy a computer tomorrow.

I shall return.

Shall we dance?

Will you help me?

In the first example, the helping verb will is added before buy which is a verb in base form. In the second sentence, the helping verb shall is added before the verb return. The future tenses in question are also shown above.

» Read more

Grammar Tutorial: Simple Past Tense

Simple past tense is used when the action referred to happened in the past.

Example: They walked to the police station yesterday.

In this example, the verb walk is added with “ed” since the situation happened the day before. This is indicated by “yesterday.”

Rules in Forming the Verbs

a.) Verbs ending in e are usually just appended by -d.

Examples

  • dive – dived
  • tie – tied
  • carve – carved

» Read more

Grammar Tutorial: Simple Present Tense

We use the simple present tense when expressing action in the present taking place once, never or several times, facts, actions taking place one after another, and action set by a timetable or schedule

The simple present tense obeys the subject verb agreement and, of course, the verb is in present tense.

Simple present tense are used in the following situations.

(a) Facts and generalizations

1.) The sun rises from East.
2.) The dog barks.

(b) Repeated actions, customs,  and habits

1.) People celebrate Christmas on 25th December.
2.) Kenyans go for elections every five years.  » Read more

The Subject-Verb Agreement Rules Part 2

In the previous post, we have learned seven rules of the subject-verb agreement. We now continue with the 8th rule. 

Rule 8: Modifiers between the subject and the verb does not affect the number of the subject. 

Jason, who is a father of four, is currently suffering liver cancer. 

In this sentence, the phrase “who is a father of four” is a modifier of Jason. It does not affect Jason as a subject and therefore takes a singular verb ‘is.’ 

Rule 9: Some nouns (collective nouns) can be used as singular or plural depending on the context and usage.  » Read more

The Subject-Verb Agreement Rules Part 1

Subject-verb agreement means that the subject and verb endings agree in number. Determining singular or plural endings can be confusing because an -s ending on a noun indicates plural, whereas an -s ending on a verb indicates singular form. The subject of every sentence is either singular or plural, and that determines the ending of the verb.

In the examples below, the subjects in the sentences are underlined the verbs are italicized.

Rule 1: Singular nouns (usually without s) take singular verbs (usually with s). Plural nouns (usually with s) take plural verbs (usually without s).

Examples:

The bee buzzes every night. (One bee = singular verb)

The bees buzz every night. (More than one bee = plural verb)

The stamps stick.  » Read more

How to Calculate the Area of a Parallelogram Part 2

In the previous post, we have learned why the area of a parallelogram is the product of its base and height. In this post, we are going to discuss a few problems involving base, height, and area of parallelograms.

Example 1

Find the area of a parallelogram whose base is 12 cm and whose height is 18 cm.

Solution

Area = base × height

Area = 12 cm × 18 cm

Area = 216 sq. cm.  » Read more

How to Calculate the Area of a Parallelogram

A parallelogram is a quadrilateral (polygon with 4 sides) whose opposite sides are parallel.

Below are some of the examples of a parallelogram. As you can see, squares and rectangles are parallelograms because their opposite sides are parallel. They are the parallelograms with right angles. The third quadrilateral below is a parallelogram with no right angles.

parallelogram

In this post, we are going to discuss how to calculate the area of a parallelogram. Since we have already discussed how to calculate the areas of squares and rectangles, we will focus on areas of non-right angled parallelograms such as the third figure above. » Read more

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