In this exercise, students will practice solving scaling problems with perimeter and area. They will be given a real-world scenario involving scaling and asked to use their understanding of proportional relationships and peri...

5 questions

Scaling Problems Project

<p>Jamie is looking at the blueprint of her new apartment. The dimensions of the rectangular main living area are shown in the drawing below. The scale factor used in the blueprint is `1` inch`=3` feet.</p><Rectangle data-props='{ "height": 6, "width": 8, "unit": "in", "height_label": "", "width_label": "", "left": { "label": "6 in", "highlight": false, "color": "" }, "right": { "label": "", "highlight": false, "color": "" }, "top": { "label": "", "highlight": false, "color": "" }, "bottom": { "label": "8 in", "highlight": false, "color": "" }, "fill": "#F2F2F6", "outline": "#000"}'></Rectangle ><p>What is the length, width and perimeter of the actual living area?</p>

Scaling Problems Project

<p>A scale drawing of a rectangular room is shown below. The scale on the drawing is `1` inch`=5` feet. </p><Rectangle data-props='{ "height": 6, "width": 10, "unit": "in", "height_label": "", "width_label": "", "left": { "label": "6 in", "highlight": false, "color": "" }, "right": { "label": "", "highlight": false, "color": "" }, "top": { "label": "", "highlight": false, "color": "" }, "bottom": { "label": "10 in", "highlight": false, "color": "" }, "fill": "#F2F2F6", "outline": "#000"}'></Rectangle ><p>What are the length and width of the actual rectangular room?</p>

Scaling Problems Project

<p>A scale drawing for a small public pool, rectangular in shape, is shown below. The engineers who created the drawing used a scale of `1` mm : `2` meters for their drawing to represent the pool.</p><Rectangle data-props='{ "height": 10, "width": 12, "unit": "mm", "height_label": "", "width_label": "", "left": { "label": "10 mm", "highlight": false, "color": "" }, "right": { "label": "", "highlight": false, "color": "" }, "top": { "label": "", "highlight": false, "color": "" }, "bottom": { "label": "12 mm", "highlight": false, "color": "" }, "fill": "#F2F2F6", "outline": "#000"}'></Rectangle ><p>Calculate the length, width and area of the actual pool.</p>

Scaling Problems Project

<p>Amanda is building a ramp, as shown in the blueprint below. When she made the blueprint, she used a scale of `1` inch : `9` feet for her drawing. </p><RightAngleTriangleV2 data-props='{ "options": { "cell_size": 30, "padding_right": 15, "padding_left": 35, "padding_top": 5, "padding_bottom": 25, "rotation": 0 }, "height": { "value": 3, "label_text": "3 in", "offsetY": -10, "offsetX": 0 }, "base": { "value":5, "label_text": "5 in", "offsetY": -5, "offsetX": -10 }, "hypotenuse": { "value": 5.8, "label_text": " ", "offsetY": -20, "offsetX": -70 }, "rightAngle": { "show": true, "color": "#000000" }, "backgroundColor": "#F2F2F6"}'></RightAngleTriangleV2><p>When this ramp is finished, what will be the base,height and area of the triangular side of the ramp Amanda has built?</br><highlight data-color="#666" data-style="italic">Write each answer as a whole number or exact decimal.</highlight></p>

Scaling Problems Project

<p>A patch of land used by a school as a playground, shaped like a right triangle, is drawn on a school map. The scale used on the map is `2` cm : `5` meters. The dimensions of the base and the height of the triangle representing the playground on the map are `7` cm and `11` cm.</p> <p>What is the actual base, height and area of the actual triangular playground?</br><highlight data-color="#666" data-style="italic">Write each answer as an exact decimal or simplified fraction/mixed number.</highlight></p>

Grade 7

Rates And Proportional Relationships

7.G.A.1