Answer:
l=33 feet
w=7 feet
Area= 231 feet
Step-by-step explanation:
Solution in Picture is attached
The area of the shaded region is going to be the area of the rectangle minus the area of the square.
Area of a rectangle is L * W.
A = L * W
A = (x + 10)(2x + 5)
A = x(2x + 5) + 10(2x + 5)
A = 2x^2 + 5x + 20x + 50
A = 2x^2 + 25x + 50 .....this is the area of the rectangle
area of a square is : A = a^2...where a is one side
A = (x + 1)^2
A = (x + 1)(x + 1)
A = x(x + 1) + 1(x + 1)
A = x^2 + x + x + 1
A = x^2 + 2x + 1
now we subtract the area of the square from the area of the rectangle to get the area of the shaded region.
2x^2 + 25x + 50 - (x^2 + 2x + 1) =
2x^2 + 25x + 50 - x^2 - 2x - 1 =
x^2 + 23x + 49 <== the area of the shaded region
Answer:
<ABC=50
<EDB=30
<DFC=60
Step-by-step explanation:
<ABC=50 BECAUSE ANGLE SUM PROPERTY
90+40+50=180
<EDB=30 BECUSE ANGLE SUM PROPERTY
100+50+30=180
<DFC=60 BECAUSE ANGLE SUM PROPERTY
30+90+50=180
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J is between H and K.if HJ =4t -15 ,JK=5t-6, and KH=15,find JK.