Question

The figure below shows two similar pictures that Jeremy wants to frame.


Jeremy has 5 strips of unfinished molding that he wants to use to frame the two pictures. Each strip is 36 inches long.

Assuming there is no wastage or overlap of molding, what is the minimum length of molding, in inches, Jeremy still requires to frame both the pictures?

Answer 1

This is the figure

Answer 2

@ganeshie8 Can you show me how you got the answer to this question? http://openstudy.com/study#/updates/504e4e58e4b064acfea6059b

Answer 3

so, Jeremy wants to frame the given two pictures

Answer 4

lets start by finding how many inches long strip she has

Answer 5

she has 5 strips,
each strip is 36 inches long

so that gives total length of strip she has = 5*36 = ?

Answer 6

180

Answer 7

yes, so available length of strip is 180 inches

Answer 8

next calculate perimeters of both the given rectangles

Answer 9

start by finding the perimeter of smaller rectangle

Answer 10

the perimeter of the smaller triangle is 58 inches

Answer 11

how would i find the other side of the larger triangle

Answer 12

yes, since both the rectangles are similar,

perimeter of larger rectangle = (scale factor) * (perimeter of smaller rectangle)
= (scale factor) * 58

Answer 13

you need to find the scale factor

Answer 14

the scale factor is 4.5

Answer 15

yes, so perimeter of larger rectangle = ?

Answer 16

i got 261

Answer 17

thats right !!

Answer 18

so you have both the rectangles' perimeters

Answer 19

look back and see wat exactly u wana find out

Answer 20

The minimum length of molding to frame both rectangles.

Answer 21

nope

Answer 22

what is the minimum length of molding, in inches, Jeremy still requires to frame both the pictures

Answer 23

139 inches

Answer 24

just add both the perimeters, that gives u total length
subtract 180 from it

that gives u total length that still requires to be molded

Answer 25

139 is \(\large \color{red}{\checkmark}\)

good job !!

Answer 26

Thank you!!

Answer 27

u wlc :)