Length of a rectangle is 8 cm and diagonal is 10 cm. Find its area
Answers
Answer:
48 cm² is it's area.
Step-by-step explanation:
The length of the rectangle is 8cm.
It's diagonal is 10cm.
Therefore , the breadth will be
(10)²-(8)²=(6)²
=100-64=36
√36 =6 cm
Area = 8cm ×6cm=48cm²
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Answer:
Therefore, the area of the rectangle is 48 square centimeters.
Given:
Length of a rectangle is 8 cm and diagonal is 10 cm. Find its area
To find :
Find its area
Solution :
Let's use the Pythagorean theorem to find the width of the rectangle:
diagonal^2 = length^2 + width^2
10^2 = 8^2 + width^2
100 = 64 + width^2
width^2 = 36
width = 6 cm
Now that we have the length and width of the rectangle, we can use the formula for its area:
area = length x width
area = 8 cm x 6 cm
area = 48 cm^2
Therefore, the area of the rectangle is 48 square centimeters.
To know more about the area of the rectangle refer :
https://brainly.in/question/35108030
https://brainly.in/question/28267523
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