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Area of triangle base 3.5 height 4

Step by step, with the reason for every step · Perimeter and area · Geometry

Step by step

The question

Question: find the area of a triangle with base 3.5 and height 4.

1 Half of a rectangle

The height goes straight up from the base to the top corner.

It makes a right angle with the base.

Draw a box around the triangle: a rectangle 3.5 long and 4 high.

The triangle fills exactly half of the box.

2 Use the rule

So the area is half of base times height: A = ½ × b × h.

A = 12 × b × h

Now put the numbers in: b = 3.5 and h = 4.

A = 12 × 3.5 × 4

Forget the points: 35 times 4 is 140.

The numbers have 1 digit after the point.

So the answer has 1 too: 14.0, which is 14.

35 × 4 = 140 → 14.0

That is the whole rectangle.

A = 12 × 14

Half of 14 means 14 divided by 2.

That is 7.

142 = 7

So the area is 7 square units.

A = 7

Let's look back.

First: half of a rectangle.

Last: use the rule.

Answer
A = 7

Your turn

Try this one yourself, then check:

Find the area.
Show the answer
A = 8

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