Step-by-step explanation:
<h2>
This problem bothers on the mensuration of flat shapes, composite rectangle. </h2>
The correct method for finding the area of a composite rectangle with a large rectangle and a small rectangle connected on the right side are highlighted below.
also see attached the rough sketch of the two rectangles.
- Decompose the figure into two rectangles and add the areas
- Extend the top and rightmost sides to make a larger rectangle, find its area, and then subtract the area of the removed corner.
- Decompose the figure into two rectangles, find their sum, and then subtract the area of the removed corner.
Answer: 3
Step-by-step explanation:
as you see c is the hypotenuse of the triangle that has two of the side 6 and 3
c^2=a^+b^2
c^2= 3^2+6^2
c^2=9+36
c^2=45
c=
=3
Answer:
ab=56
Step-by-step explanation:
14 x 4 = 56
Answer:
<JLK
Step-by-step explanation:
9514 1404 393
Answer:
- area 36 ft²
- perimeter 30 ft
Step-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
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The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.