How To Find The Area Of A Rectangle Sides 4.5cm And 7.8cm

by Omar Yusuf 58 views

Hey guys! Today, we're going to tackle a super common geometry problem: finding the area of a rectangle. This is a fundamental concept that pops up everywhere, from DIY projects around the house to more advanced math problems. So, let's break it down and make sure you've got it down pat.

Understanding the Basics: What is a Rectangle?

First things first, what exactly is a rectangle? At its core, a rectangle is a four-sided shape, also known as a quadrilateral, where all the angles are right angles (90 degrees). Think of a typical picture frame or a door – those are rectangles! The opposite sides of a rectangle are not only parallel to each other but also equal in length. We usually refer to the longer side as the length and the shorter side as the width (or sometimes the breadth).

The Magic Formula: Area of a Rectangle

Now for the key ingredient: the formula! Calculating the area of a rectangle is surprisingly simple. It's just the product of its length and width. Mathematically, we express it as:

Area = Length × Width

This formula tells us how much surface a rectangle covers. We're essentially figuring out how many square units fit inside the rectangle. For instance, if we're working with centimeters (cm), the area will be in square centimeters (cm²).

Solving the Problem: 4.5cm and 7.8cm

Alright, let's get to the specific problem at hand. We've got a rectangle with sides measuring 4.5cm and 7.8cm. Let’s identify these values in terms of our formula:

  • Length = 7.8 cm
  • Width = 4.5 cm

Now, we simply plug these values into our area formula:

Area = 7.8 cm × 4.5 cm

To find the area, we need to multiply these two numbers. You can use a calculator, do it by hand, or even use online tools. Let's do the math:

Area = 35.1 cm²

So, there you have it! The area of the rectangle with sides 4.5cm and 7.8cm is 35.1 square centimeters.

Step-by-Step Calculation

For those who like a detailed breakdown, let's walk through the multiplication step-by-step:

  1. Multiply 7.8 by 5 (the 0.5 part of 4.5): 7. 8 × 5 = 39.0
  2. Multiply 7.8 by 4 (the whole number part of 4.5): 7. 8 × 4 = 31.2
  3. Since we multiplied by 4 and 0.5 separately, we need to adjust for the decimal places. In 7.8 × 4.5, there are two decimal places in total (one in each number). So, we place the decimal point two places from the right in our result.
  4. Add the results: 31.2 + 3.9 = 35.1

Thus, 7.8 cm × 4.5 cm = 35.1 cm²

Therefore, the area of the rectangle is 35.1 cm².

Why is This Important?

You might be thinking,