Respuesta :
We are given
length=l=12inches
diagonal =d=13inches
Let's assume
width=w
so, firstly we need to find width
we know that length , width and diagonal form right angled triangle
so, we can use Pythagoras theorem
[tex] d^2=l^2+w^2 [/tex]
now, we can plug values
[tex] 13^2=12^2+w^2 [/tex]
[tex] w^2=25 [/tex]
[tex] w=5 [/tex]
now, we can find area of rectangle
Area = length*width
[tex] Area=l*w [/tex]
now, we can plug values
[tex] Area=12*5 [/tex]
[tex] Area=60inch^2 [/tex].............Answer
SOLUTION:
.
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1. Find the missing leg:
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a² + b² = c²
12² + b² = 13²
b² = 13² - 12²
b² = 25
b = √25
b = 5
The missing leg is 5 inches.
.
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2. Find the area:
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Area = Length x Width
Area = 12 x 5 = 60 in²
.
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Answer: The area is 60 in².
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