This channel deserves much more attention considering how much work goes into it. Cheers and thank you for sharing friend

@bigm383

10 ай бұрын

Absolutely!😀

@PreMath

10 ай бұрын

Much appreciated! So nice of you. Thank you! Cheers! 😀

Height of rectangles = y. Area of yellow rectangle = A. A + 80 = 32y. A + 176 = 40y. Dividing :- ( A + 176 ) / ( A + 80 ) = 40y / 32y = 5 / 4. Cross multiplying :- 5 ( A + 80 ) = 4 ( A + 176 ) 5A + 400 = 4A + 704. A = 304.

@PreMath

10 ай бұрын

Thank you! Cheers! 😀

@williamlyerly3114

10 ай бұрын

Think this soln is most obvious. No x or y Calc. Or if drop out A then calc y directly. Substitute to get A.

@jhill4874

10 ай бұрын

Exactly what I did. Cheers.

The second solution is out of this world...Amazing!

Love your outside the box method! Super!

@PreMath

10 ай бұрын

Glad you like it!

Thanks PreMath . We are enjoying and learning solve Math. Exercise .

@PreMath

9 ай бұрын

Glad to hear that

تمرين جيد جميل .رسم واضح مرتب. شرح واضح مرتب . شكرا جزيلا لكم والله يحفظكم ويحميكم ويرعاكم جميعا . تحياتنا لكم من غزة فلسطين.

@PreMath

10 ай бұрын

Thanks dear🙏

Easy and refreshing geometry problem

@PreMath

10 ай бұрын

Great! Thank you! Cheers! 😀

(176-80)/(40-32)=12=Altura → [32-(80/12)]x12=304 =Área amarilla Gracias y saludos.

Very nice solution!🥂👍❤️

@PreMath

10 ай бұрын

Awesome! So nice of you. Thank you! Cheers! 😀

Fantastic alternative method at the end.

@PreMath

10 ай бұрын

Glad you liked it Thank you! Cheers! 😀

Thanks for video.Good luck sir!!!!!!!!

@PreMath

10 ай бұрын

Thank you too

thankyou so much dear ❤

@PreMath

10 ай бұрын

You are so welcome! So nice of you, dear Thank you! Cheers! 😀

Thank you

@PreMath

9 ай бұрын

You're welcome

You are wonderful my friend❤

@PreMath

10 ай бұрын

You are the best, dear So nice of you. Thank you! Cheers! 😀

great again!

@PreMath

10 ай бұрын

So nice of you. Thank you! Cheers! 😀

Most of us came up with 1st Method.. But the 2nd one is mind blowing.

@PreMath

10 ай бұрын

Glad you liked it

I got to xy-40y=80 and xy-32y=176. A quick inspection told me that 8y=96 so y=12. Exceelent channel. The help is appreciated.

@PreMath

10 ай бұрын

So nice of you. Thank you! Cheers! 😀

Hi Premath I like your explanation second method is awesome I like your channel

@PreMath

10 ай бұрын

So nice of you. Thank you so much 🙂

I just mentally calculated that green had 8 cm longer base and 96 cmsq more area so ht is 12. Width of blue is 80/12 and that is 6 2/3, gr base is 14 2/3. Width of yellow is 40-14 2/3 or 25 1/3. 25 1/3 base times 12 ht is 304.

بفرض عرض المستطيل الكلي y 32+176/y=40+80/y 176/y_80/y=40_32 96/y=8 y=12 S+176=40×12 S=304

Very nice, sir. :::::::: Let the area of yellow rect be A 80+A = 32y.......(1) 176+A =40y......(2) Divide (2) by (1) and get for A.

@PreMath

10 ай бұрын

So nice of you. Thank you! Cheers! 😀

Nice to see different methods for solving these problems. Here's a third method: Let A = area of center (yellow) rectangle Combined area of yellow and blue rectangles = A + 80 (with base = 32) Combined area of yellow and green rectangles = A + 176 (with base = 40) Since these rectangles have same height, the ratio of their areas = ratio of their bases: (A + 80) / (A + 176) = 32 / 40 (A + 80) / (A + 176) = 4 / 5 5A + 400 = 4A + 704 5A - 4A = 704 - 400 A = 304

@PreMath

10 ай бұрын

Thanks for sharing!

I solved the problem as Method #1 in the video. I missed the second method. I did get the answer.

@PreMath

10 ай бұрын

Great! Thank you! Cheers! 😀

(32-x)y=80 (40-x)y=176 80/(32-x)=176/(40-x) 3200-80x=5632-176x 96x=2432 x=76/3 y=12 area of Yellow Rectangle : xy = 76/3＊12 = 304

@PreMath

10 ай бұрын

Thank you! Cheers! 😀

area = A width = l so... 32 x l = A + 80 .............(1) 40 x l = A + 176 .............(2) (2) - (1) = 176 -80 = (40-32) x l l = 96/8 = 12 1/ A = (32 x 12) - 80 = 304 cm² or... 2/ A = (40 x 12) - 176 = 304 cm²

Let H be the height & X be the width of yellow rectangle. H*(32 - X) = 80 & H*(40 - X) = 176. H = 12. HX is the yellow area = 32*12 - 80 = 304.

@PreMath

10 ай бұрын

Thank you! Cheers! 😀

3 methode: 80/12=6 2/3. 176/12=14 2/3. 32*12=384. 384-80=304. 304/12=25 1/3. 25 1/3 + 14 2/3 = 40 so correct.

Let A be the area, A+80/A+176=32/40=4/5, so 5A+400=4A+704, then A=304.😃

@PreMath

10 ай бұрын

Thank you! Cheers! 😀

2nd method is quicker and easy

Ar=196

X=24cm

Traditional method of solving equated equations is really defining a past participle. The Woke version of solving we come out of the darkness of the box and wallah!...Boom! ,.... we see the light and readily come up with the answer. 🙂

@PreMath

10 ай бұрын

Thanks for sharing!

Green Area - Blue area = 176 - 80 = 96 cm² has a base of : b= 40 - 32 = 8 cm Its area is A = b.H. , then H = A/b = 92 / 8 H = 12 cm Yellow area: B = 32 - 80/12 (or 40-176/12 ) A = B. H = (32-80/12).12 A = 304 cm² ( Solved √ )

Blue rectangle Area = 80 = b.H b = 80 / H Green rectangle: Area = 176 = B.H B = 176 / H Total Base of larger rectangle: 40.+ (80/ H) = 32 + (176 / H) 40 - 32 = 176 / H - 80 / H 8 = 96 / H H = 96 / 8 H = 12 cm Bt = 40 + 80/12 = 46,66 cm Total Area : At = Bt H = 46,66 . 12 At = 560 cm² Yellow area: Aw = At - 80 - 176 Aw = 304 cm² ( Solved √ )