Verified answer

Before, finding the answer. Let's find out on how we can find the answer.

• To find the Breadth, We must use the formula of Pythagorean Theorem which is  :

• Then, we must find the Area of Rectangle by using the formula of :

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Given :

• Length = 143 m
• Diagonal = 145 m

To find :

• Area of Rectangle

Solution :

Diagonal of rectangle by Pythagorean Theorem = √a² + √b²

145 = √(143)² + √b²

• Squaring both the sides,

145² = 143² + b²

145² - 143² = b²

(145 - 143)(145 + 143) = b²

(2)(288) = b²

576 = b²

B = 24 m

• Now, we know that Breadth = 24 m.

So, Area of rectangle = l × b

= 143 × 24

= 3432 m²

Hence, Area of Rectangle is 3432 m².

Given:

• Length of a rectangle is 142 m.
• Diagonal of the rectangle is 145 m.

To find:

• The area of the rectangle.

Formulae used:

• Pythagorean Theorem: (Perpendicular)² + (Base)² = (Hypotenuse)²
• Area of rectangle = (Length × Breadth) sq.units

Solution:

As we're asked to find the area of the rectangle, we need the measure of its breadth. How can we find it?

Look at the attachment! You can view the diagram of a rectangle OKAY with length 142 m and a diagonal 145 m. Now, scrutinize the view of the diagonal along with with length and breadth. You can notice a right-angled triangle KAY, where:

• KY = Diagonal = Hypotenuse = 145 m
• YA = Length = Base = 142 m
• KA = Breadth = Perpendicular = ?

Now, we can find the perpendicular, i.e, the breadth of the rectangle by using Pythagorean Theorem.

On substituting the measures:-

Since the measure of base perpendicular equals the measure of breadth, the breadth of the rectangle is 29.3 m

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Now we shall find the area of the rectangle!

• Length = 143 m
• Breadth = 29.3 m

On substituting these measures in the formula:

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