Question

rectangle of Area 7 square centimetres is cut into three equal rectangles. what is the area of each? what if it were cut in to four

Answer 1

If it is cut into equal 3 parts, then it's area will be 7/3 = 2.333cm^2

If it is cut into 4 parts, it's area will be 7/4 = 1.75 cm^2

Answer 2

Each rectangle has an area of 2.33 cm² when divided into three equal pieces, and 1.75 cm² when divided into four equal pieces.

Given:

The area of the rectangle = 7 cm²

It is divided into three equal pieces, and then into four pieces, too.

To find:

The area of each rectangle in both cases.

Solution:

It's fairly simple to find the answer to this question, as seen below.

First case:

The area of the rectangle = 7 cm²

The number of parts to which the rectangle is cut equally = 3

Therefore,

Area of each triangle = $\frac{The total area of the rectangle}{The number of parts}$

= $\frac{7}{3}$

= 2.33 cm²

Second case:

The area of the rectangle = 7 cm²

The number of parts to which the rectangle is cut equally = 4

Therefore,

Area of each triangle = $\frac{The total area of the rectangle}{The number of parts}$

= $\frac{7}{4}$

= 1.75 cm²

Hence, if we divide the given triangle into three equal triangles, each triangle will have an area of 2.33 cm2, and if we divide the given triangle into four equal triangles, each triangle will have an area of 1.45 cm2.

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