Rectangles A and B shown below are similar. Determine the scale factor of enlargement from Rectangle A to…

Question

Rectangles A and B shown below are similar. Determine the scale factor of enlargement from Rectangle A to Rectangle B.

ScanSolve AI Tutor · Accepted Answer

Ili kupata kipimo cha ukuzaji (scale factor), tunagawanya urefu wa upande wa mstatili uliokuzwa (Rectangle B) kwa urefu wa upande unaolingana wa mstatili asilia (Rectangle A).

Tambua vipimo vya Rectangle A na Rectangle B.
Rectangle A ina urefu wa $3 \text{ cm}$ na upana wa $2 \text{ cm}$ .
Rectangle B ina urefu wa $9 \text{ cm}$ na upana wa $6 \text{ cm}$ .
Tumia pande zinazolingana kukokotoa kipimo cha ukuzaji.
Tunaweza kutumia urefu au upana.
Kutumia urefu:
$\text{Scale factor} = \frac{\text{Urefu wa Rectangle B}}{\text{Urefu wa Rectangle A}} = \frac{9 \text{ cm}}{3 \text{ cm}}$
Kutumia upana:
$\text{Scale factor} = \frac{\text{Upana wa Rectangle B}}{\text{Upana wa Rectangle A}} = \frac{6 \text{ cm}}{2 \text{ cm}}$
Kokotoa thamani ya kipimo cha ukuzaji.
$\text{Scale factor} = \frac{9}{3} = 3$
Au
$\text{Scale factor} = \frac{6}{2} = 3$
Kipimo cha ukuzaji ni sawa kwa pande zote mbili, kama inavyotarajiwa kwa maumbo yanayofanana.

Kipimo cha ukuzaji ni $\text{3}$ .

Rectangles A and B shown below are similar. Determine the scale factor of enlargement from Rectangle A to Rectangle B.

Answer

Step-by-step solution

Tambua vipimo vya Rectangle A na Rectangle B.

Tumia pande zinazolingana kukokotoa kipimo cha ukuzaji.

Kokotoa thamani ya kipimo cha ukuzaji.

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