A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 uni
1 answer:
Answer:
41
Step-by-step explanation:
So basically you need to use the pythagorean thrm. Essentially, the diagonal and the width and length create a triangle, the diagonal being the hypothenuse. So the formula goes as . the variable "a" being the length and the variable "b" being the width. So plug it in and there you have your answer!
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The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+
=
+
= 196 + 169 = 365
= 365
diagonal = = 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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The new area will be 320 in²
<em><u>Explanation</u></em>
Lin has a drawing with an area of 20 in² and she increases all sides by a scale factor of 4.
<u>The general rule</u> we need to use here.......
"<em>If the lengths of the sides in a shape are all increased by a scale factor of , then the area will be increased by a scale factor of
"</em>
Here the sides are increased by a scale factor of 4. So, the area will be increased by a scale factor of
Thus, the new area will be: