Question

用牙签搭成一个长 $60$ 根牙签、高 $32$ 根牙签的网格。一共用了多少根牙签？

Toothpicks are used to make a grid that is $60$ toothpicks long and $32$ toothpicks high. How many toothpicks are used altogether?

$1920$

$1952$

$1980$

$2013$

$3932$

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一个 $60$ 乘 $32$ 网格有 $61$ 条竖直网格线，每条由 $32$ 根牙签组成；还有 $33$ 条水平网格线，每条由 $60$ 根牙签组成。

因此牙签总数为 $\begin{aligned} 61\cdot32+33\cdot60 &= 1952+1980 \\ &= 3932. \end{aligned}$

所以正确答案是 E。

A $60$ -by- $32$ grid has $61$ vertical grid lines, each made of $32$ toothpicks, and $33$ horizontal grid lines, each made of $60$ toothpicks.

Therefore the total number of toothpicks is $\begin{aligned} 61\cdot32+33\cdot60 &= 1952+1980 \\ &= 3932. \end{aligned}$

Thus, E is the correct answer.