Question

what is green and makes hole. find the area of each figure below and circle your answers in the answer colour. order from the letter of the smallest correct answer to the letter of the largest correct answer in the boxes at the bottom of the page. (in the first four problems, assume). 1. 2. 3. 4. 5. 6. 5.8 cm 11.5 cm 7. 4.9 cm 7.9 cm 8. 5.2 cm 9. 4.0 cm 10. 8.5 cm 3.3 cm 4.6 cm 7.2 cm 11. 3.9 cm 5.4 cm 5.0 cm 12.25 cm 9.1 cm 6.3 cm 5 cm. letter of smallest correct answer

Explanation:

Step1: Recall area formulas

Rectangle: $A = lw$ (length times width), parallelogram: $A=bh$ (base times height), for composite - shapes, find areas of component rectangles and subtract/add as needed.

Step2: Calculate area of rectangle in problem 5

$A = 5.2\times5.2=27.04$ $cm^{2}$

Step3: Calculate area of parallelogram in problem 6

$A = 11.5\times5.8 = 66.7$ $cm^{2}$

Step4: Calculate area of parallelogram in problem 7

$A=4.9\times7.9 = 38.71$ $cm^{2}$

Step5: Calculate area of composite - shape in problem 10

The outer rectangle has dimensions $8.5$ cm by $7.2$ cm, and the inner rectangle has dimensions $4.6$ cm by $3.3$ cm.
$A_{outer}=8.5\times7.2=61.2$ $cm^{2}$, $A_{inner}=4.6\times3.3 = 15.18$ $cm^{2}$
$A = 61.2-15.18=46.02$ $cm^{2}$

Step6: Calculate area of composite - shape in problem 11

The large rectangle has dimensions $12.25$ cm by $5.0$ cm, and the small rectangle has dimensions $5.4$ cm by $3.9$ cm.
$A_{large}=12.25\times5.0 = 61.25$ $cm^{2}$, $A_{small}=5.4\times3.9=21.06$ $cm^{2}$
$A = 61.25 - 21.06=40.19$ $cm^{2}$

Answer:

The areas for problems 5, 6, 7, 10, 11 are $27.04$ $cm^{2}$, $66.7$ $cm^{2}$, $38.71$ $cm^{2}$, $46.02$ $cm^{2}$, $40.19$ $cm^{2}$ respectively. (Note: The first - four problems in the instruction are not fully shown, so only these five are calculated here).