I slid the Area=30 rectangle so that its left edge was at the right edge of rectangle A. That left the unoccupied part of the Area=35 rectangle equal to 5. From there it was obvious.
If the difference in areas is 5, and the difference in widths is 1, then the height is 5. 5(11-x)=35 5(10-x)=30 55-5x=35, so x=4. 50-5x=30, so x=4 (check the second one to confirm that results are the same). Area is 4*5=20 sq units. I'm not sure that the way I did it is an exact match, but it seems to work.
Area30+Area= 10 x h h = (A30 + A) /10 Area35+Area= 11 x h h = (A35 + A) /11 (A30 + A) /10 = (A35 + A) /11 11 . 30 + 11 A = 10 . 35 + 10 A A = 350 - 330 A = 20 cm² ( Solved √ )
2nd method is my first sight ❤All you did is good.
Awesome! Thank you!
I slid the Area=30 rectangle so that its left edge was at the right edge of rectangle A. That left the unoccupied part of the Area=35 rectangle equal to 5. From there it was obvious.
(35+A)-(30+A)=5 u² =b*h=1*5 → A=[10-(30/5)]*5 =4*5 =20
Gracias y un saludo.
If the difference in areas is 5, and the difference in widths is 1, then the height is 5.
5(11-x)=35
5(10-x)=30
55-5x=35, so x=4.
50-5x=30, so x=4 (check the second one to confirm that results are the same).
Area is 4*5=20 sq units.
I'm not sure that the way I did it is an exact match, but it seems to work.
Tnx❤
Equalizing areas:
30 + 11.h = 35 + 10.h
11h - 10 h = 35-30
h = 5 cm
A = 10 .h - 30 = 50 - 30
A = 20 cm² ( Solved √ )
You can substitute the value of h , h=5 in 10h=A+30
Sympathetic little problem
I got 20. Now checking my answer.
I got it right. Method one is good.
Area30+Area= 10 x h
h = (A30 + A) /10
Area35+Area= 11 x h
h = (A35 + A) /11
(A30 + A) /10 = (A35 + A) /11
11 . 30 + 11 A = 10 . 35 + 10 A
A = 350 - 330
A = 20 cm² ( Solved √ )
11y - xy = 35
10y - xy = 30
y = 5
x = 4
A = 20
Corto y Rápido !!!
Felicitaciones !!!
and I like your accent btw......
35+A = 11.h
30+A = 10.h
(35+A)-(30+A)=11h-10h
h = 35-30 = 5 cm
A = 10 . h - 30
A = 10 . 5 - 30 = 50 - 30 =
A = 20 cm² ( Solved √ )
35/11-b=30/10-b, 350-35b=330-30b, 20=5b, b=4, 35/11-4=30/10-4=5, A=4×5=20
Method #5
h(10-b)+5=h(11-b)
10h-hb+5=11h-hb
10h+5=11h
5=h
h(11-b)=35
5(11-b)=35
55-5b=35
20=5b
4=b A=h*b=5*4=20
(10-x)y=30
(11-x)y=35
30/(10-x)=35/(11-x)
330-30x=350-35x 5x=20 x=4 , y=5
area of Orange Rectangle : xy=4*5=20
Blue area = 6 × 5 =30 ...green area = 7 × 5 = 35 ... A = 4 × 5 = 20
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