{"id":10933,"date":"2022-06-08T14:52:43","date_gmt":"2022-06-08T09:22:43","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10933"},"modified":"2022-06-08T14:52:46","modified_gmt":"2022-06-08T09:22:46","slug":"half-the-perimeter-of-rectangle-garden-whose-length-is-4m-more-than-its-width-is-36-cm-find-the-dimensions-of-the-garden","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/half-the-perimeter-of-rectangle-garden-whose-length-is-4m-more-than-its-width-is-36-cm-find-the-dimensions-of-the-garden\/","title":{"rendered":"Half the perimeter of rectangle garden, whose length is 4m more than its width, is 36 cm. Find the dimensions of the garden."},"content":{"rendered":"\n

Solution :<\/h2>\n\n\n\n

Let x be the length of garden and y be its width.<\/p>\n\n\n\n

Then, <\/p>\n\n\n\n

According to question, perimeter = 2(length +width) = 2(x + y)<\/p>\n\n\n\n

Therefore, half perimeter = (x + y)<\/p>\n\n\n\n

But it is given as 36<\/p>\n\n\n\n

\\(\\therefore\\) (x + y) = 36<\/p>\n\n\n\n

Also, x = y + 4<\/p>\n\n\n\n

Now, we form the table given below for both the equations to find the solutions graphically.<\/p>\n\n\n\n

For equation, x + y = 36<\/p>\n\n\n\n

If x = 20, y =16<\/p>\n\n\n\n

If x = 24, y = 12<\/p>\n\n\n\n

x<\/td>20<\/td>24<\/td><\/tr>
y<\/td>16<\/td>12<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

For equation, x – y = 4<\/p>\n\n\n\n

If x = 10, y = 6<\/p>\n\n\n\n

If x = 16, y = 12<\/p>\n\n\n\n

x<\/td>10<\/td>16<\/td><\/tr>
y<\/td>6<\/td>12<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Now plot the points in the table on the graph.<\/p>\n\n\n\n

We see that lines intersect at point (20,16) as shown in the graph.<\/p>\n\n\n\n

Hence, Length = 20 m and width = 16 m <\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Solution : Let x be the length of garden and y be its width. Then, According to question, perimeter = 2(length +width) = 2(x + y) Therefore, half perimeter = (x + y) But it is given as 36 \\(\\therefore\\) (x + y) = 36 Also, x = y + 4 Now, we form the …<\/p>\n

Half the perimeter of rectangle garden, whose length is 4m more than its width, is 36 cm. Find the dimensions of the garden.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[911,43],"tags":[],"yoast_head":"\nHalf the perimeter of rectangle garden, whose length is 4m more than its width, is 36 cm. 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