Find the Area 找面积A rectangular sheet of christmas wrapping paper measures 2.8 m by 50 cm. A triangle with side lengths of 23 cm, 19 cm and 25 cm is cut from the paper. How much paper is left?
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Find the Area 找面积A rectangular sheet of christmas wrapping paper measures 2.8 m by 50 cm. A triangle with side lengths of 23 cm, 19 cm and 25 cm is cut from the paper. How much paper is left?
Find the Area 找面积
A rectangular sheet of christmas wrapping paper measures 2.8 m by 50 cm. A triangle with side lengths of 23 cm, 19 cm and 25 cm is cut from the paper. How much paper is left?
Find the Area 找面积A rectangular sheet of christmas wrapping paper measures 2.8 m by 50 cm. A triangle with side lengths of 23 cm, 19 cm and 25 cm is cut from the paper. How much paper is left?
英文水平一般,我的翻译如下:
从一个2.8m长50cm宽的矩形薄片圣诞包装纸上剪裁一个边长23cm,19cm和25cm三角形.有多少纸剩下?
解答如下:
矩形面积=2.8*0.5=1.4m^2
知道了三角形三边长,求三角形面积,运用海伦公式
S=√[p(p-a)(p-b)(p-c)]
而公式里的p为半周长: p=(a+b+c)/2 =(23+10+25)/2=29cm
S=√[p(p-a)(p-b)(p-c)] =√[29(29-23)(29-19)(29-25)] =4√435=83.427cm^2
剩余面积=1.4m^2-83.427cm^2=1.4*10000-83.427=13916.573cm^2