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Use a+= then find the perimeter
A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.
A. 46 feet
B. 32 feet
C. 58 feet
D. 64 feet
ОА


Sagot :

Answer:

The answer is 46

Step-by-step explanation:

Since there is a diagonal, you can't assume that it is the width because if it was the width, it would say so. Since 17 was the measure of the diagonal, I did pythagorean theorem: 15^2 + x^2 =  17^2 --> 225 + x^2 = 289 --> x^2 = 64 --> x = 8. So now we have figured out the width of the rectangle and it's 8. Now we can add: 8 + 8 + 15 + 15 = 46. That is why the answer is 46.

The perimeter of the rectangle  46 feet.

The correct option is (A).

What is perimeter?

Perimeter is the distance around the edge of a shape.

Learn how to find the perimeter by adding up the side lengths of various shapes.

Given : length= 15 feet and diagonal= 17 feet

Since there is a diagonal.

So, using Pythagorean theorem:

H² = P²+B²

15²+ x² =  17²

or, 225 + x² = 289

or, x² = 64

x = ± 8 feet.

Thus, width = 8 feet

Perimeter of rectangle= 2*(l+b)

= 2*(15+8)

= 2*23

=46 feet

Learn more about perimeter here:

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