Question

The area of the entire figure below is 111 square unit.
A rectangle that has been split into 30 parts, set in 3 rows of 10 parts each. The parts in the top 2 rows have been shaded blue. The parts in the left 4 columns have been shaded purple. The first 4 parts in the top 2 rows are striped to show they are shaded both blue and purple.
A rectangle that has been split into 30 parts, set in 3 rows of 10 parts each. The parts in the top 2 rows have been shaded blue. The parts in the left 4 columns have been shaded purple. The first 4 parts in the top 2 rows are striped to show they are shaded both blue and purple.
How can we describe the area of the striped rectangle?

Answer 1

Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.

What is a rectangle?

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

• A represents the area of a rectangle.

• l represents the length of a rectangle.

• w represents the width of a rectangle.

Given the following data:

Width = 3 rectangles (top to bottom).

Length = 10 rectangles (left to right).

Substituting the given parameters into the formula, we have;

Area = 10 × 3

Area = 30 rectangles.

From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:

Area of striped rectangle = 8/20 of the other portions

Area of striped rectangle = 8/20 × 20/30

Area of striped rectangle = 4/10 × 2/3.

Read more on area of a rectangle here: brainly.com/question/25292087

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