Answered

Tuklasin ang maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Sumali sa aming platform upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

If the length of a rectangle is increased by 8 m and its width by 3 m, its area will be increased by 200 sq.m. If its length is increased by 3 m and its width by 8 m, its area will be increased by 255 sq.m. What are the original dimensions of the rectangle?

Sagot :

AGboiiidn

Answer:

  • length = 24 meters
  • width = 13 meters

[tex] \\ [/tex]

Check the image attached

View image AGboii
View image AGboii
AnonymousBetaidn

In the formula of the rectangle , we know that

y=xz

where x and z are the sides and y is the area

For the first statement , our formula will be

(x+8)(z+3) = y + 200

Next is we simplify it

xz + 3x + 8z + 24 = y + 200

Now substitute some values

3x + 8z = y - y + 200 - 24

3x + 8z = 176

for the second one, it will be

(x+3)(z+8) = y + 255

Simplify

xz +8x + 3z + 24 = y + 255

substitite

8x + 3z = y - y + 255 - 24

8x + 3z = 231

Next is we do some elimination

(-8/3)(3x + 8z = 176)

8x + 3z = 231

-8x - 64z/3 = -1408/3

(-3/55)(-55z/3 = -1408/3 + 693/3)

z = 13

Next is find for x

8x + 3(13) = 231

(1/8)(8x = 231 - 39)

x = 24

Answer

24m and 13m

Maraming salamat sa iyong pakikilahok. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay mahalaga sa ating komunidad. Para sa mga de-kalidad na sagot, piliin ang IDNStudy.com. Salamat at bumalik ka ulit sa aming site.