Area of parallelogram base 10 cm, side 7 cm, height 6 cm Step by Step

Step by step

Question: find the area of a parallelogram with base 10 cm and height 6 cm.

The slanted side is 7 cm.

A parallelogram has two pairs of parallel sides.

It looks like a rectangle pushed over.

The height goes straight up from the base.

It makes a right angle with the base.

Cut off the triangle at the left end.

Move it to the right end.

It fits exactly.

Now it is a rectangle, 10 cm long and 6 cm high.

Nothing was added or lost, so the area is the same.

Careful: the slanted side is 7 cm.

It is not the height.

The height goes straight up.

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

A = b × h

Now put the numbers in: b = 10 and h = 6.

A = 10 × 6

10 times 6 is 60.

So the area is 60 cm².

A = 60 cm²

Let's check another way.

A line from corner to corner cuts it into two triangles.

Each triangle is half of base times height.

Both have base 10 and height 6.

12 × 10 × 6 + 12 × 10 × 6 = 30 + 30 = 60

We get 60 again.

So the area is right!

Let's look back.

First: make a rectangle.

Then: base times height.

Last: check.

Answer

A = 60 cm²