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A rectangular image of length 3 cm and width 4 cm is magnified in a studio. On magnification, 1 cm of the image represents 17 cm. Find the perimeter of the rectangle in the magnified image.
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Answers:
576 cm
204 cm
408 cm
238 cm

Answer :

mysticchacha

Answer:

238 cm

Step-by-step explanation:

so we have a scale factor   of  17: 1

originally we had the dimensions:   3cm by 4m

now we have    3*17  by 4*17  = 51 cm by 68 cm

Perimeter = 2*51 + 2*68 = 238 cm

The perimeter of the rectangle in the magnified image is 238 cm.

What is a rectangle?

'Rectangle is a two-dimensional shape in which the opposite sides are parallel and equal to each other and all four angles are right angles.'

According to the given problem,

Length of the triangle = 3 cm

Width of the triangle = 4 cm

In the magnified image, 1 cm = 17 cm

                                   ⇒ 3 cm = ( 17 × 3 ) cm

                                                 = 51 cm

                                   ⇒ 4 cm = ( 17 × 4 ) cm

                                                 = 68 cm

Length of rectangle in magnified image = 51 cm

Width of rectangle in magnified image = 68 cm

Perimeter of the rectangle in magnified image = {2 × ( length + width )} cm

                                        =                                    = {2 × ( 51 + 68 )} cm

                                                                              = ( 2 × 119 ) cm

                                                                              = 238 cm

Hence, we can conclude, the perimeter of the rectangle in the magnified image is 238 cm.

Learn more about rectangles here: https://brainly.com/question/27198371

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