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Step-4

Title: Rectangle

Grade: 8-a Lesson: S2-L8

Explanation: Let us verify the answer here with the steps.

Description:

Explanation	Answer
Problem	A rectangle has a base that is 32 cm and a height that is 25 cm. What is the length of diagonal of the rectangle?
Formula used	\$d = \sqrt (a^2 + b^2)\$
Step - 1	Given that, Base of rectangle (b) = 32cm Height of rectangle (a) = 25cm
Step - 2	Lenght of diagonal \$d = \sqrt (a^2 + b^2)\$ ⇒ \$d = \sqrt ((32)^2 + (25)^2)\$ ⇒ \$d = \sqrt (1024 + 625)\$ ⇒ \$d = \sqrt (1649)\$ ⇒ \$d = 40.6\$
Step - 3	Hence, the length of diagonal of the rectangle is \$d = 40.6 cm\$

Explanation

Answer

Problem

A rectangle has a base that is 32 cm and a height that is 25 cm. What is the length of diagonal of the rectangle?

Formula used

\$d = \sqrt (a^2 + b^2)\$

Step - 1

Given that,

Base of rectangle (b) = 32cm

Height of rectangle (a) = 25cm

Step - 2

Lenght of diagonal \$d = \sqrt (a^2 + b^2)\$

⇒ \$d = \sqrt ((32)^2 + (25)^2)\$

⇒ \$d = \sqrt (1024 + 625)\$

⇒ \$d = \sqrt (1649)\$

⇒ \$d = 40.6\$

Step - 3

Hence, the length of diagonal of the rectangle is \$d = 40.6 cm\$